How do you combine $(b^{3} + 2 b^{2} + 3 b) + (4 b^{3} - 5 b^{2} + 4 b)$ $(b^3 + 2b^2 + 3b) + ( 4b^3 - 5b^2 + 4b)$ ?

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Answer 1 · 2015-05-07T12:16:34

Regroup based on factors of $b$ $b$ with the same exponent values:
(b^3+2b^2+3b)+(4b^3-5b^2+4b)#

$= (b^{3} + 4 b^{3}) + (2 b^{2} - 5 b^{2}) + (3 b + 4 b)$ $=(b^3+4b^3)+(2b^2-5b^2)+(3b+4b)$

$= 5 b^{3} - 3 b^{2} + 7 b$ $=5b^3-3b^2+7b$

How do you combine (b3+2b2+3b)+(4b3−5b2+4b)(b^3 + 2b^2 + 3b) + ( 4b^3 - 5b^2 + 4b)?