Multiply:(8x+4)(9x^2+7x+3)=72x^3+92x^2+52x+12

Can someone let me know if this is correct.

Yes I got the same answer.

thanks

I agree also

To check if the given multiplication is correct, we can perform the multiplication on our own and compare the result.

Let's multiply the two polynomials step by step:

(8x + 4)(9x^2 + 7x + 3)

First, multiply 8x by each term in the second polynomial:
8x * 9x^2 = 72x^3
8x * 7x = 56x^2
8x * 3 = 24x

Next, multiply 4 by each term in the second polynomial:
4 * 9x^2 = 36x^2
4 * 7x = 28x
4 * 3 = 12

Now, let's combine the like terms:

72x^3 + 56x^2 + 24x + 36x^2 + 28x + 12

Combining similar terms:

72x^3 + (56x^2 + 36x^2) + (24x + 28x) + 12

72x^3 + 92x^2 + 52x + 12

Yes, the given multiplication expression (8x + 4)(9x^2 + 7x + 3) is correct as it matches the resulting polynomial 72x^3 + 92x^2 + 52x + 12.