Math, asked by ar437, 1 year ago

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Answered by dazzler123
3
3x ( 3x + 2y ) - 2y ( 3x +2y )
9x square + 6xy - (6xy - 4y square)
9x square + 4y square

hope it helps ...
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Answered by QGP
11
We will use the following identity:

\boxed{(a+b)(a-b)=a^2-b^2}


Then we have:

(3x-2y)(3x+2y)(9x^2+4y^2) \\ \\ \text{Use Identity} \\ \\ = ((3x)^2-(2y)^2)(9x^2+4y^2) \\ \\ = (9x^2-4y^2)(9x^2+4y^2) \\ \\ \text{Use Identity Again} \\ \\ = ((9x^2)^2-(4y^2)^2) \\ \\ = \bold{81x^4-16y^4} \\ \\ \\ \implies \boxed{\bold{(3x-2y)(3x+2y)(9x^2+4y^2)=81x^4-16y^4}}
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