Math, asked by prachi7171, 1 year ago

factorise(a^2+9b^2-6ab)-4c^2

Answers

Answered by abhi569
16
(a² + 9b² - 6ab) - 4c²

[ a² + (3b)²-2(3ab)] - 4c²

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By formula, (a -b)²=a²+b²-2ab
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(a - 3b)² - 4c²

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By formula, a²-b²=(a-b)(a+b)
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(a - 3b - 4c)(a - 3b + 4c)



I hope this will help you

(-:
Answered by Anonymous
5
Heya ✋

Let see your answer !!!!!!

(a ^{2}  + 9b ^{2}  - 6ab) - 4c ^{2}  \\  = ((a ^{2}  + (3b) ^{2}  - 6 \times a \times 3b) \\  - 4c ^{2}  \\  = (a - 3b) ^{2}  - 4c ^{2}  \\  = (a - 3b + 4c)(a - 3b - 4c)


we \: had \: appplied \: this \: identity \\ (a ^{2}  - b ^{2}) = (a + b)(a - b)



Thanks :)))))
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