Factor the polynomial b^6-a^3?

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Factor the polynomial b^6-a^3?

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2007-01-19 10:42:06 · 5 answers · asked by Adriane 2 in Science & Mathematics ➔ Mathematics

5 answers

b^3b^3-a^3

(b^2)^3-a^3

(b^2-a)(b^4+ab^2+a^2)

2007-01-19 10:45:20 · answer #1 · answered by 7 · 0⤊ 0⤋

b^6 - a^3

- (a-b^2) (b^4 + a b^2 + a^2)

2007-01-20 09:32:22 · answer #2 · answered by SHIBZ 2 · 0⤊ 0⤋

(b^2-a)^3

2007-01-19 18:48:29 · answer #3 · answered by Mae-Day 3 · 0⤊ 0⤋

b^6 - a^3 = (b^2 - a)(b^4 + ab^2 + a^2)

2007-01-19 18:49:06 · answer #4 · answered by Sherman81 6 · 0⤊ 0⤋

b^6-a^3
=(b^2)^3-(a)^3
=(b^2-a) {(b^2)^2+(b^2)(a) +(a)^2}
=(b^2-a)9b^4+ab^2+a^2)

For factorisation the formula a^3-b^3=(a-b)(a^2+ab+b^2 has been used in the third line)

2007-01-19 19:28:34 · answer #5 · answered by alpha 7 · 0⤊ 0⤋