Math, asked by INNOCENTDEVIL006, 10 months ago

(x-y) ² - 7 (x² - y²) + 12 (x+y)



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Answers

Answered by madhukumariswn88
1

We have, \sf{(x-y)^2-7(x^2-y^2)+12(x+y)^2}

=\sf{(x-y)^2-7(x-y)(x+y)+12(x+y)^2}

= \sf{a^2-7ab+12b^2,}where x-y = a and x + y = b

= \sf{a^2-3ab-4ab+12b^2}

=\sf{(a^2-3ab)+[-4ab+12b^2]}

=\sf{(a^2-3ab)+[-4ab+12b^2]}

= \sf{a(a-3b)-4b(a-3b)}

=\sf{(a-3b)(a-4b)}

= [(x-y) - 3(x+y)] [(x-y)-4(x+y)], putting back a = x-y and b =x+y

= \sf{[x-y-3x-3y][x-y-4x-4y]}

= \sf{(-2x-4y)-(-3x-5y)}

=\sf{[-(2x+4y)][-(3x+5y)]}

=\sf{(2x+4y)(3x+5y)}

Answered by charanjotsingh240
0

Answer:

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