Question

Simplify the following expression -5[(x^3+1)(x+4)]

A.) x^4+x^3+4x
B.) -5x^4-20x^3-5x-20
C.) -5x^4+20x^3-5
D.) x^4+4x^3+x+4

Answer 1

B

Explanation:

-5[ (x³+1)(x+4) ] = -5[ x³*(x+4) + 1*(x+4) ]

= -5 [ x³*x + x³*4 + 1*x + 1*4 ]

= -5 [ x⁴ + 4x³ + x + 4]

= -5*x⁴ + (-5)*4x³ + (-5)*x + (-5) * 4

= -5x⁴ - 20x³ - 5x - 20