Question

Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 7x.

Answer 1

The factors of the given expression $144-49x^{2}$ will be  $(7x+12)(7x-12)$

What will be the factors of the given equation?

It is given that

$144-49x^{2}$

Now by simplifying it

$(12)^{2} -(7x)^{2}$

Now from the formula, we know

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

So it will become

$(12)^{2} -(7x)^{2}= (12-7x)(12+7x)$

Thus the factors of the given expression $144-49x^{2}$ will be (7x+12)(7x-12)

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