Question

Factorise a² + 25b² + 10ab - 36 then its value is equal to

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Answer 1

Explanation:

${a}^{2} + 25b {}^{2} + 10ab - 36$

$= {a}^{2} + (5b) {}^{2} + 2(a)(5b) - 6 {}^{2}$

$= (a + 5b) {}^{2} - 6 {}^{2}$

(by a^2 + b^2 + 2ab = (a+b) ^2)

$= (a + 5b + 6)(a + 5b - 6)$

(by a^2 - b^2 = (a + b) (a - b)

Answer: (a + 5b + 6)(a + 5b - 6)

I hope this helps.

Answer 2

Step-by-step explanation:

Here in the Second line we have used the formula of (a+b) ^2