Question

Which of the following shows a factor of 100b2 - 144a4?

Answer 1

C. 10b+12a^2

This is the best answer of the choices.

Answer 2

(10b-12a²)(10b+12a²)

Option C is correct. (10b+12a²)

Explanation:

We need to find the factor of 100b² - 144
`a^(4)`

Now we will rewrite the expression like this;

(10b)² - (12a²)²

Now we use the difference of square identity

x² - y² = (x+y)(x-y)

So, we use this identity and find the factor

(10b)² - (12a²)² = (10b + 12a²)(10b - 12a²)

Hence, (10b+12a²) is the final answer.

I hope it will help you.