Math, asked by sdmoorthy195, 3 months ago

4:
Simplify: (a2-b2)2

Answers

Answered by sainiinswag

$the \: answer \: is \: \: \: \: \: {a}^{4} + {b}^{4} - 2 {a}^{2} {b}^{2}$

Step-by-step explanation:

${( {a}^{2} - {b}^{2}) }^{2} = {( {a}^{2} )}^{2} + {( {b}^{2}) }^{2} - 2 \times {a}^{2} \times {b}^{2} \\ \\ = = > \: \: \: = {a}^{4} + {b}^{4} - 2 {a}^{2} {b}^{2}$

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ruchirajaip: Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : a2 is the square of a1

Check : b2 is the square of b1

Factorization is : (a + b) • (a - b)

Final result :
2 • (a + b) • (a - b)

Answered by malligapalaniandi

Answer:

hello mate!

Step-by-step explanation:

we could simplify it in many ways,

1 way is by implying 1 identity directly

let, me make it simple, by using 1 identity,

(a-b)²=a²-2ab+b²

a=a², b=b²,

(a²)²-2(a²)(b²)+(b²)².

a⁴-2a²b²+b⁴. will be the answer.

thank you

have a great day ahead!

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Simplify: (a2-b2)2