Question

Choose the correct simplification of 6x^3(5x^2+4x-7).

A) 30x^5+24x^4-42x^3
B) 30x^5-18^3
C) 11x^5+10x^4-x^3
D) 11x^5+9x^3​

Answer 1

`6x^3(5x^2+4x-7) = 30x^5+24x^4-42x^3`

Explanation:

Given

`6x^3(5x^2+4x-7).`

Required

Simplify

`6x^3(5x^2+4x-7).`

Open bracket

`6x^3(5x^2+4x-7) = 6x^3*5x^2+6x^3*4x-6x^3*7`

Multiply the factors:
`ax^b * cx^d = (a*c)x^(b+d)`

`6x^3(5x^2+4x-7) = 30x^5+24x^4-42x^3`