How can I factor this: 3a2+6ab+3b2?
Could some please show me how to factor this, I have no idea how to do it. If you don’t know how to factor can you at least post a website that explains how. Thanks in advance.
Top 3 Answers
Favorite Answer
3a2 + 6ab + 3b2
divide by 3 to get
3 ( a2 + 2ab + b2)
reduce the polynomial
3 [(a + b) x (a + b)]
reduce the bracket
3 (a + b)2
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3a^2+6ab+3b^2 = 3(a^2 + 2ab + b^2)
Because the only factor common to all three terms is “3”
3a^2 has two a’s but no b’s
6ab has on a and one b
3b^2 has two b’s but no a’s
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3a^2 + 6ab + 3b^2 =
3(a^2 + 2ab + b^2) =
3(a+b)^2
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