Question

Simplify using identity : (8x+y) (8x-y)​

Answer 1

Answer:

64x^2-y^2

Step-by-step explanation:

The question is in the form:(a+b)(a-b);

so,on simplification is takes the form:a^2-b^2

Answer 2

$\implies (8x + y) (8x - y)$

we know that :-

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

therefore now :-

$\implies (8x + y) (8x - y) = {(8x)}^{2} - {(y)}^{2}$

$\implies (8x + y) (8x - y) = {(8)}^{2} {x}^{2} - {y}^{2}$

we know that :-

• 8² = 64

$\implies (8x + y) (8x - y) = 64 {x}^{2} - {y}^{2}$

$\implies 64 {x}^{2} - {y}^{2}$

Answer :

$64 {x}^{2} - {y}^{2}$

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$\large\bf\red{Additional-Information}$

$\implies{(a+b)^2 = a^2 + b^2 + 2ab}$

$\implies{(a-b)^2 = a^2 + b^2 - 2ab}$

$\implies{(a+b)^3 = a^3 + b^3 + 3ab(a + b)}$

$\implies{(a-b)^3 = a^3 - b^3 - 3ab(a-b)}$

$\implies{(a^3+b^3)= (a+b)(a^2 - ab + b^2)}$

$\implies{(a^3-b^3)= (a-b)(a^2 + ab + b^2)}$

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