Question

4x2+9y2-12xy factorises it ​

Answer 1

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$\color{red}\huge{\underline{\underline{\mathfrak{Correct\:Question:-}}}}$

Factorise 4x²+9y²-12xy

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$\color{blue}\huge{\underline{\underline{\mathfrak{Answer}}}}$

${\blue{\bold{\text{\left(2x-3y\right)^2}}}}$

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${\blue{\bold{\text{Given equation:- 4x^2+9y^2-12xy}}}}$

${\blue{\bold{\text{It can also be written as}}}}$

(2x)²+(3y)²-12xy

${\blue{\bold{\text{By using \left(a-b\right)^2=a^2+b^2-2ab}}}}$

${\red{\bold{\text{We get}}}}$

(2x)²+(3y)²-12xy=(2x-3y)²

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Hope it helps

Answer 2

Step-by-step explanation:

4x^2+9y^2-12xy

= (2x) ^2+(3y) ^2-2(2x)(3y)

= (2x-3y) (2x-3y)

hope it helps ✌