Answer:
x³ + 6x² + 8x
Step-by-step explanation:
x(x+2)(x+4) (expand the expressions in parentheses by polynomial product distribution)
= x [(x)(x) + (x)(4) + (2)(x) + (2)(4)]
= x (x² + 4x + 2x + 8)
= x (x² + 6x + 8) multiply & distribute the x term into the parentheses
= x² (x) + 6x(x) + 8(x)
= x³ + 6x² + 8x
Answer:
x³ + 6x² + 8x
Step-by-step explanation:
Given
x(x + 2)(x + 4)
Begin by expanding the pair (x + 2)(x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) + 2(x + 4) ← distribute both parenthesis
= x² + 4x + 2x + 8 ← collect like terms
= x² + 6x + 8
Now multiply this by x, that is
x(x² + 6x + 8) ← distribute parenthesis
= x³ + 6x² + 8x
Hence
x(x + 2)(x + 4) = x³ + 6x² + 8x
