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EastWind [94]
2 years ago
7

Factor out -32y^2 - 24y

Mathematics
1 answer:
xxMikexx [17]2 years ago
7 0
12y2 the 2 is an exponent
Explanation:
Write greatest common factor as GCF
Consider the variables
x
and
y
x
is only in one of them so it is not 'common'. Thus it is not included in the GCF
y2
×
y
=
y3
so
y2
is part of the GCF
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David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o
BlackZzzverrR [31]

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The GCF of the coefficients is correct.

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David applied the distributive property.

Step-by-step explanation:

GCF = Greatest common factor

1) GCF of coefficients : (80,32,48)

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF of coefficients : (80,32,48) is 16.

2) GCF of variables :(b^4,b^2,b^4)

b^4= b × b × b × b

b^2 = b × b

b^4 =b × b × b × b

GCF of variables :(b^4,b^2,b^4) is b^2

3) GCF of c^3 and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.

4) 80b^4-32b^2c^3+48b^4c

=16b^2(5b^2-2c^3+3b^2c)

David applied the distributive property.

7 0
2 years ago
Read 3 more answers
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