Question

find the coefficient of x² in (4+4x²)(3x²+5)​

Answer 1

Answer:

Therefore, the coefficient of x² is 32.

Step-by-step explanation:

Given that (4+4x²)(3x²+5)

We have to find the coefficient of x².

General form of a quadratic equation is ax²+bx+c = 0

In this case x² coefficient is 'a'

                    x coefficient is 'b'

'c' is a constant.

Now, (4+4x²)(3x²+5) = 4(3x²+5)+4x²(3x²+5)

                              $=4(3x^{2} +5)+4x^{2} (3x^{2} +5)\\=12x^{2} +20+12x^{4} +20x^{2} \\= 12x^{4}+32x^{2} +20$

Given equation becomes $12x^{4} +32x^{2} +20$

Therefore, the coefficient of x² is 32.