factorise(a^2+9b^2-6ab)-4c^2
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(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
(-:
[ a² + (3b)²-2(3ab)] - 4c²
=========
By formula, (a -b)²=a²+b²-2ab
=========
(a - 3b)² - 4c²
==========
By formula, a²-b²=(a-b)(a+b)
==========
(a - 3b - 4c)(a - 3b + 4c)
I hope this will help you
(-:
Answered by
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) (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)](https://tex.z-dn.net/?f=%28a+%5E%7B2%7D++%2B+9b+%5E%7B2%7D++-+6ab%29+-+4c+%5E%7B2%7D++%5C%5C++%3D+%28%28a+%5E%7B2%7D++%2B+%283b%29+%5E%7B2%7D++-+6+%5Ctimes+a+%5Ctimes+3b%29+%5C%5C++-+4c+%5E%7B2%7D++%5C%5C++%3D+%28a+-+3b%29+%5E%7B2%7D++-+4c+%5E%7B2%7D++%5C%5C++%3D+%28a+-+3b+%2B+4c%29%28a+-+3b+-+4c%29)
![we \: had \: appplied \: this \: identity \\ (a ^{2} - b ^{2}) = (a + b)(a - b) we \: had \: appplied \: this \: identity \\ (a ^{2} - b ^{2}) = (a + b)(a - b)](https://tex.z-dn.net/?f=we+%5C%3A+had+%5C%3A+appplied+%5C%3A+this+%5C%3A+identity+%5C%5C+%28a+%5E%7B2%7D++-+b+%5E%7B2%7D%29+%3D+%28a+%2B+b%29%28a+-+b%29)
Thanks :)))))
Let see your answer !!!!!!
Thanks :)))))
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