9514 1404 393
Answer:
a) 7(3x +7)
b) y(3y -1)
c) 4x^2(2 +x)
d) 2s^2t^2(12s +5t^2)
Step-by-step explanation:
These are factored by finding the greatest common factor of the given terms. Generally, that can be found by looking at the factors and finding the largest that is common to all terms.
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a) 21 = 7·3; 49 = 7·7. The GCF is 7. Factoring that out gives ...
7(3x +7)
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b) y is the only factor common to both terms.
y(3y -1)
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c) 4 and x^2 are factors common to both terms, assuming the second term is 4x^3.
4x^2(2 +x)
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d) 10 = 2·5; 24 = 2·12; the factors s^3 and s^2 share a factor of s^2; the terms t^2 and t^4 share a factor of t^2.
2s^2t^2(12s +5t^2)
Answer:
A Alternate interior angles of parallel lines are congruent
Step-by-step explanation:
The referenced angles (1, A), (3, C) are alternate interior angles, not corresponding or exterior. The symmetric property does not apply. The only answer choice with any applicability is the one shown above. (It is also the right choice.)
Answer:
(m + 3) (m - 6)
Step-by-step explanation:
Simplify the following:
m^2 - 3 m - 18
The factors of -18 that sum to -3 are 3 and -6. So, m^2 - 3 m - 18 = (m + 3) (m - 6):
Answer: |
| (m + 3) (m - 6)
