Question

factorise:100-(a-4)power to 2​

Answer 1

Answer:

Given

$100 - (a - 4) {}^{2} \\ = (10) {}^{2} - (a - 4) {}^{2}$

We know

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

In the given equation

$x = 10 \: \: \: \: and \: \: \: \: y = (a - 4)$

So Now

$(10) {}^{2} - (a - 4) {}^{2} \\ = (10 + (a - 4))(10 - (a - 4)) \\ = (10 + a - 4)(10 - a + 4) \\ = (6 + a)(14 - a)$

I hope it will help you.