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astra-53 [7]
3 years ago
14

Simplify the expression 3(x + 2)(x2 − x − 8). 3x3 + 3x2 − 30x − 48 3x3 + x2 − 10x − 16 3x3 − 30x2 − 12x − 48 3x3 − 4x2 − 30x − 4

Mathematics
2 answers:
Doss [256]3 years ago
4 0

Answer:

The correct option is A) 3x^3+3x^2-30x-48

Step-by-step explanation:

Consider the provided expression.

3\left(x+2\right)\left(x^2-x-8\right)

Distribute 3 as shown

\left(3x+6\right)\left(x^2-x-8\right)

Distribute parentheses as shown.

3xx^2+3x\left(-x\right)+3x\left(-8\right)+6x^2+6\left(-x\right)+6\left(-8\right)

3x^2x-3xx-3\cdot \:8x+6x^2-6x-6\cdot \:8

3x^3-3x^2-24x+6x^2-6x-48

Add and subtract like terms

3x^3+3x^2-30x-48

Hence, the correct option is A) 3x^3+3x^2-30x-48

Leno4ka [110]3 years ago
3 0

Answer:

3x^3 + 3x^2 − 30x − 48

Step-by-step explanation:

3( x + 2 )( x^2 − x − 8 )

= ( 3( x + 2 ))( x^2 + − x + − 8 )

= ( 3( x + 2 ))( x^2 ) + ( 3( x + 2 ))( −x ) + ( 3( x + 2 ))( −8 )

= 3x^3 + 6x^2 − 3x^2 − 6x − 24x − 48

3x^3 + 3x^2 − 30x − 48

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