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

Question

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Mathematics

22 September, 20:59

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

+5

Answers (1)

Know the Answer?

Jonathon · Answer 1

B

Step-by-step 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

Simplify the following expression - 5[ (x^3+1) (x+4) ]A.) x^4+x^3+4xB.) - 5x^4-20x^3-5x-20C.) - 5x^4+20x^3-5D.) x^4+4x^3+x+4

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