Math

Question Rewrite 6y(3y2)+(3y2)6 y(3 y-2)+(3 y-2) by factoring out (3y2)(3 y-2).

Studdy Solution

STEP 1

Assumptions
1. We are given the expression 6y(3y2)+(3y2)6y(3y-2)+(3y-2).
2. We need to factor out (3y2)(3y-2) from the expression.

STEP 2

Identify the common factor in both terms of the expression. The common factor is (3y2)(3y-2).

STEP 3

Rewrite the expression by factoring out the common factor (3y2)(3y-2).
6y(3y2)+(3y2)=(3y2)(6y+1)6y(3y-2)+(3y-2) = (3y-2)(6y+1)

STEP 4

Explain the distribution of the common factor. We can think of the expression as (3y2)(3y-2) multiplied by 6y6y plus (3y2)(3y-2) multiplied by 11.

STEP 5

Write the factored expression.
(3y2)(6y+1)(3y-2)(6y+1)
This is the expression rewritten by factoring out (3y2)(3y-2).

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