Find the product of (a+6)(a^2-6a+36)?

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Find the product of (a+6)(a^2-6a+36)?

2007-04-23 13:44:32 · 4 answers · asked by noneb4noneafter 1 in Science & Mathematics ➔ Mathematics

4 answers

There is a simpler way to do this than expanding that sh*t.

Recognize that the second term looks similar to
(a+6)^2 = a^2 + 12a + 36
So a^2 - 6a + 36 = (a + 6)^2 - 18a

So your expression becomes
(a + 6)^3 - 18a*(a + 6)

2007-04-23 13:48:55 · answer #1 · answered by Dr D 7 · 1⤊ 0⤋

a^3-6a^2+36a+6a^2-36a^2+216
a^ 3-36^2+36a+216

2007-04-23 20:57:12 · answer #2 · answered by dwinbaycity 5 · 0⤊ 0⤋

a^3+216

to get this

multiply by a then multiply by 6 then add like terms

a^3-6a^2+36a
6a^2-36a +216

a^3+216

2007-04-23 20:51:15 · answer #3 · answered by jon d 3 · 0⤊ 0⤋

(a3+6^3)

2007-04-23 20:52:37 · answer #4 · answered by cattbarf 7 · 0⤊ 0⤋