How do you find the gcf of $8 a^{2} b + 4 a b - 12 a b^{2}$ $8a^2b + 4ab - 12ab^2$ ?

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How do you find the gcf of $8 a^{2} b + 4 a b - 12 a b^{2}$ $8a^2b + 4ab - 12ab^2$ ?

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Answer 1 · 2015-07-01T02:26:40

Find the largest number and highest degree of each variable that can be divided evenly into the expression.

Explanation:

$8 a^{2} b + 4 a b - 12 a b^{2}$ $8a^2b+4ab-12ab^2$

Largest number = $4$ $4$
Highest degree of $a$ $a$ = $a$ $a$
Highest degree of $b$ $b$ = $b$ $b$

Multiply the results to get the GCF of $4 a b$ $4ab$ .

Factor out $4 a b$ $4ab$ .

$4 a b (2 a + 1 - 3 b)$ $4ab(2a+1-3b)$

Answer 2 · 2015-07-01T02:28:36

gcf (Greatest Common Factor) of $8 a^{2} b + 4 a b - 12 a b^{2}$ $8a^2b+4ab−12ab^2$ is $4 a b$ $4ab$

Explanation:

Factoring each term independently:
$8 a^{2} b = 2 \times 2 \times 2 \times a \times a \times b$ $8a^2b = 2xx2xx2xxaxxaxxb$
$4 a b = 2 \times 2 \times a \times b$ $4ab= 2xx2xxaxxb$
$12 a b^{2} = 2 \times 2 \times 3 \times a \times b \times b$ $12ab^2 = 2xx2xx3xxaxxbxxb$

Extracting the factors common to all three terms:
$2 \times 2 \times a \times b = 4 a b$ $2xx2xxaxxb = 4ab$

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How do you find the gcf of $8 a^{2} b + 4 a b - 12 a b^{2}$ $8a^2b + 4ab - 12ab^2$ ?

2 Answers

Explanation:

Explanation:

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How do you find the gcf of $8 a^{2} b + 4 a b - 12 a b^{2}$ $8a^2b + 4ab - 12ab^2$ ?