9514 1404 393
Answer:
A) difference of squares
B) GCF
C) trinomials (X method)
Explanation:
When a binomial is a difference of squares, factoring using the "difference of squares" method is appropriate.
The first binomial is ...
(2x)² -5² . . . . . a difference of squares
= (2x -5)(2x +5)
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When the binomial is not a difference of squares, but there is a common factor, then the GCF method is appropriate.
2x³ -4x² = 2x²(x -2) . . . . . GCF method
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When the expression is a trinomial, often the X method can work for factoring it.
x²-5x +6 . . . . 2 numbers are needed that sum to -5 and are factors of 6
6 = (-2)(-3), so the factorization is (by X method)
(x -2)(x -3)