4a2 + 9b2 + 16c2 + 12ab – 12bc – 16ac
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Step-by-step explanation:
Given:
4a2+9b2+16c2+12ab−24bc−16ac
Use the formula:
(a+b+c)2=a2+b2+c2+2ab+2bc+2ca
Simplify the equation.
4a2+9b2+16c2+12ab−24bc−16ac=(2a)2+(3b)2+(−4c)2+2×2×3ab+2×(−4)×3bc+2×(−4)×2ac
=(2a+3b−4c)2
Thus, the factor of the equation is (2a+3b−4c)
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