Question

expand the following number
(51)³​

Answer 1

Answer:

132651

Step-by-step explanation:

(50+1)^3

A3+b3+3ab(a+b)

50^3+1^3+3×50×1(50+1)

125000 + 1 + 7650

132651

Answer 2

SOLUTION

TO DETERMINE

To expand the number (51)³

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

$\sf{ {(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2} }$

EVALUATION

Here the given expression is

$\sf{ {(51)}^{3} }$

Now applying the formula

$\boxed{ \: \: \sf{ {(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2} } \: \: }$

$\sf{ {(51)}^{3} }$

$\sf{ = {(50+ 1)}^{3} }$

$\sf{= {(50)}^{3} + {(1)}^{3} + 3 \times {50}^{2} \times 1 + 3 \times 50 \times {1}^{2} }$

$\sf{= 125000 + 1+( 3 \times 2500) + (3 \times 50 ) }$

$\sf{= 125000 + 1+7500 + 150}$

$\sf{= 132651}$

FINAL ANSWER

$\boxed{ \: \: \sf{ {(51)}^{3} = 132651} \: \: }$

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