Math, asked by zualar6039, 8 months ago

4a2 + 9b2 + 16c2 + 12ab – 12bc – 16ac

Answers

Answered by 5025388p
0

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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