7) $7b^6 + 5b^3 - 6b^2$
8) $90x^3 - 27x^2 + 18x$
9) $30x^3y^3 + 6x^3y$
10) $-20uv^2 + 28uv$

Question

Accepted Answer

### Problem 7: $ 7b^6 + 5b^3 - 6b^2 $
# Explanation:
## Step 1: Identify the GCF
The greatest common factor (GCF) of $ 7b^6 $, $ 5b^3 $, and $ -6b^2 $ is $ b^2 $ (since the lowest power of $ b $ is $ b^2 $, and there's no common numerical factor other than 1).
## Step 2: Factor out the GCF
Factor $ b^2 $ from each term:
$ 7b^6 + 5b^3 - 6b^2 = b^2(7b^4 + 5b - 6) $

# Answer: $ b^2(7b^4 + 5b - 6) $

### Problem 8: $ 90x^3 - 27x^2 + 18x $
# Explanation:
## Step 1: Find the GCF
The GCF of 90, 27, 18 is 9, and the lowest power of $ x $ is $ x $. So GCF is $ 9x $.
## Step 2: Factor out the GCF
Factor $ 9x $ from each term:
$ 90x^3 - 27x^2 + 18x = 9x(10x^2 - 3x + 2) $

# Answer: $ 9x(10x^2 - 3x + 2) $

### Problem 9: $ 30x^3y^3 + 6x^3y $
# Explanation:
## Step 1: Determine the GCF
GCF of 30 and 6 is 6. For $ x $: lowest power is $ x^3 $. For $ y $: lowest power is $ y $. So GCF is $ 6x^3y $.
## Step 2: Factor out the GCF
Factor $ 6x^3y $ from each term:
$ 30x^3y^3 + 6x^3y = 6x^3y(5y^2 + 1) $

# Answer: $ 6x^3y(5y^2 + 1) $

### Problem 10: $ -20uv^2 + 28uv $
# Explanation:
## Step 1: Find the GCF
GCF of -20 and 28 is 4 (we can factor out -4 or 4; let's use -4 for simplicity, but 4 also works). For $ u $: $ u $, for $ v $: $ v $. So GCF is $ 4uv $ (or $ -4uv $; let's use $ 4uv $).
## Step 2: Factor out the GCF
Factor $ 4uv $ from each term:
$ -20uv^2 + 28uv = 4uv(-5v + 7) $ (or $ -4uv(5v - 7) $, both are correct)

# Answer: $ 4uv(-5v + 7) $ (or $ -4uv(5v - 7) $)

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QUESTION IMAGE

Question

Explanation:

Problem 7: \( 7b^6 + 5b^3 - 6b^2 \)

Step 1: Identify the GCF

Step 2: Factor out the GCF

Step 1: Find the GCF

Step 2: Factor out the GCF

Step 1: Determine the GCF

Step 2: Factor out the GCF

Answer:

Problem 8: \( 90x^3 - 27x^2 + 18x \)