Question

Use algebric identities to evaluate each of the following:
a)
$502 \times 502$
b)
${805}^{2}$
Pls help me solve these 2 parts,tomorrow is my exam...best answer would be marked as brainliest​

Answer 1

A)(500 + 2 )(500 + 2)

${(500 + 2)}^{2}$

$identity = {a}^{2} + 2ab + {b}^{2}$

${500}^{2} + 2(500)(2) + {2}^{2}$

250000 + 4000 + 4

➡️➡️254004

B)

${(805)}^{2}$

$= {(800 + 5)}^{2}$

${800}^{2} + 2(800)(5)+ {5}^{2}$

640000 + 8000 + 25

➡️➡️648025

❤❤HAPPY HOLI❤❤

Answer 2

Answer:A)(500 + 2 )(500 + 2)

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2)

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B)

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805)

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2 = {(800 + 5)}^{2}=(800+5)

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2 = {(800 + 5)}^{2}=(800+5) 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2 = {(800 + 5)}^{2}=(800+5) 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2 = {(800 + 5)}^{2}=(800+5) 2 {800}^{2} + 2(800)(5)+ {5}^{2}800

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2 = {(800 + 5)}^{2}=(800+5) 2 {800}^{2} + 2(800)(5)+ {5}^{2}800 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2 = {(800 + 5)}^{2}=(800+5) 2 {800}^{2} + 2(800)(5)+ {5}^{2}800 2 +2(800)(5)+5

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2 = {(800 + 5)}^{2}=(800+5) 2 {800}^{2} + 2(800)(5)+ {5}^{2}800 2 +2(800)(5)+5 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2 = {(800 + 5)}^{2}=(800+5) 2 {800}^{2} + 2(800)(5)+ {5}^{2}800 2 +2(800)(5)+5 2

A)(500 + 2 )(500 + 2){(500 + 2)}^{2}(500+2) 2 identity = {a}^{2} + 2ab + {b}^{2}identity=a 2 +2ab+b 2 {500}^{2} + 2(500)(2) + {2}^{2}500 2 +2(500)(2)+2 2 250000 + 4000 + 4➡️➡️254004B){(805)}^{2}(805) 2 = {(800 + 5)}^{2}=(800+5) 2 {800}^{2} + 2(800)(5)+ {5}^{2}800 2 +2(800)(5)+5 2 640000 + 8000 + 25

➡️➡️648025

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