Question

Factorise:
${4a}^{2} - {36a}^{6}$
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Answer 1

-32 a - square

This is the ans

I hope this helped you

Answer 2

Answer

• 4a²(1+3a²)(1-3a²)

Given

$\bullet \;\; \bf 4a^2-36a^6$

To Find

• Factorization of the given value

Solution

$\rm 4a^2-36a^6\\\\\implies \rm 4a^2-9(4)a^6\\\\\implies \rm 4a^2-(9a^4)(4a^2)\\\\\implies \rm 4a^2(1-9a^4)\\\\\implies \rm 4a^2(1-(3a^2)^2)\\\\\implies \rm 4a^2(1^2-(3a^2)^2)\\\\\implies \bf 4a^2(1+3a^2)(1-3a^2)\\\\\rm Since,(a+b)(a-b)=a^2-b^2$