Question

Factorise :
(i) 25x² - y²
​

Answer 1

Step-by-step explanation:

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a²-b²=(a+b)(a-b)

as same for 25x²+y²

(5x-y)(5x+y)

y=5x or y=-5x

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Answer 2

$\huge\sf\blue{ANSWER}$

$GIVEN$

$\text\blue{25x^2-y^2}$

$\text\tt{Using a^2-b^2=(a+b)(a-b)}$

$\mathbb\blue{FIRST\:SIMPLIFY\:IT}$

$\implies\sf\blue{5x^2-y^2}$

$\implies\sf\red{(5x+2)(5x-2)}$

$\text{Useful Identities}$

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

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

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

Thank You!

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