Identify the greatest common factor of 12a4b7 and 18a5b3 .(1 point) Responses 6a4b3 6 a superscript 4 baseline b superscript 3 baseline 12a5b7 12 a superscript 5 baseline b superscript 7 baseline 12a4b3 12 a superscript 4 baseline b superscript 3 baseline 6a5b7
The greatest common factor of 12a^4b^7 and 18a^5b^3 is 6a^4b^3.
What is the greatest common factor of 12a2 and 20ab ?(1 point) Responses 10a 10 a 4a 4 a 4a2b 4 a squared b 4ab
The greatest common factor of 12a^2 and 20ab is 4a.
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Let's find the prime factors of 12a^2 and 20ab to determine the greatest common factor:
12a^2 = 2^2 * 3 * a^2
20ab = 2^2 * 5 * a * b
The common factors between 12a^2 and 20ab are 2^2 and 'a'. Therefore, the greatest common factor is 4a. So, I can confirm that the greatest common factor of 12a^2 and 20ab is indeed 4a.
Rewrite the expression 2a3b+6a2b2 by factoring out the GCF.(1 point) Responses 2a2b(ab+3ab) 2 a superscript 2 baseline b left parenthesis a b plus 3 a b right parenthesis 2a2(a+3b) 2 a superscript 2 baseline left parenthesis a plus 3 b right parenthesis 2a2b(a+3b) 2 a superscript 2 baseline b left parenthesis a plus 3 b right parenthesis 2a2(ab+3b) 2 a superscript 2 baseline left parenthesis a b plus 3 b right parenthesis
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To factor out the Greatest Common Factor (GCF) from 2a^3b + 6a^2b^2, we first identify the common factors in both terms:
The expression 2a^3b + 6a^2b^2 can be rewritten as:
2a^2b(a + 3b)
So, after factoring out the GCF, the correct expression is: 2a^2b(a + 3b)
How would you rewrite the expression 30a3+40a5 by factoring out the GCF?(1 point) Responses 5a3(6+8a2) 5 a superscript 3 baseline left parenthesis 6 plus 8 a superscript 2 baseline right parenthesis 10a2(3+4a2) 10 a superscript 2 baseline left parenthesis 3 plus 4 a superscript 2 baseline right parenthesis 10a3(3a+4a2) 10 a superscript 3 baseline left parenthesis 3 a plus 4 a superscript 2 baseline right parenthesis 10a3(3+4a2)
To factor out the greatest common factor from 30a^3 + 40a^5, we need to identify the common factors in both terms:
The expression 30a^3 + 40a^5 can be rewritten as:
10a^3(3 + 4a^2)
So, after factoring out the GCF, the correct expression is: 10a^3(3 + 4a^2)