find one factor of: 8a (sq)3 -125b (sq)3?

a) (2a -5b)
b) (4a -5b)
c) (4a (sq)2 -10ab+25b(sq)2)
d) (4a(sq)2 -10ab -25b(sq)2)

2007-04-16 09:19:33 · 1 answers · asked by jonathan w 1 in Science & Mathematics ➔ Mathematics

1 answers

8a^3 - 125b^3 = (2a)^3 - (5b)^3

=[(2a) - (5b)][(2a)^2 +(2a)(5b) + (5b)^2]
. . . . by the difference of two cubes formula

=(2a - 5b)(4a^2 +10ab + 25b^2)

2007-04-16 09:32:02 · answer #1 · answered by chancebeaube 3 · 0⤊ 0⤋

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