Question

Factor
5(3x+4)^2*(x-10)^3 - 2*(3x+4)(x-10)^4

Simplify your answer as much as possible

Answer: (x-10)^3 * (3x+4) * (13x+40)
Is this correct?

Answer 1

looks right

Answer 2

tomo can I get a second opinion please? I have to get this one right

Answer 3

5(3x+4)^2*(x-10)^3 - 2*(3x+4)(x-10)^4


so you can factor out a (3x+4)(x-10)^3

so you have

(3x+4)(x-10)^3*[5*(3x+4)-(2)(x-10)]

= (3x+4)(x-10)^3*[15x+20-2x+20)]

= (3x+4)(x-10)^3*[13x+40]

you are correct

Answer 4

Fantastic- Thank you!!

Answer 5

you're welcome