Math, asked by sagarika50, 9 months ago

25(x+y)^2-36(x-2y)^2can be factorised as:​

Answers

Answered by tanishdanishzehan
1

Step-by-step explanation:

25(x+y)^2-36(x-2y)^2

=5^2(x+y)^2-6^2(x-2y)^2

=[5(x+y)]^2-[6(x-2y)]^2

by using the identity   a^2-b^2=(a+b)(a-b)

=>[{5(x+y)}-{6(x-2y)}]  *    [{5(x+y)}+{6(x-2y)}]

=[5x+5y-6x+12y]      *      [5x+5y+6x-12y]

=[17y-x]  *  [11x-7y]

this is the final factorised form.

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