Question

An expression that occurs in calculus is given. Factor the given expression completely.

5(4x+7)^2+(5x+4)*5(4x+7)*4

I'm a bit lost, any help? Showing a detailed explanation of every step would be so helpful!

Answer 1

The factorized expression is 5(4x + 7)(24x + 23).

Explanation:

An expression that occurs in calculus is given to be

5(4x + 7)² + (5x + 4) × 5(4x + 7) × 4

We have to factorize the given equation completely.

Now, 5(4x + 7)² + (5x + 4) × 5(4x + 7) × 4

= 5(4x + 7)[(4x + 7) + 4(5x + 4)]

= 5(4x + 7)(24x + 23)

Therefore, the factorized expression is 5(4x + 7)(24x + 23). (Answer)