Math, asked by jyotipandeymanish, 5 months ago

Simplify (5 x + 2 y) square - (5x-2y)square​

Answers

Answered by rohanmourya767
0

Answer:

7xy

Step-by-step explanation:

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Answered by SandeepAW
0

Answer:

(5x+2y)²-(5x-2y)².

(5x+2y)².

It is in the form of (a+b)²=a²+2ab+b².

Where a=5x & b=2y.

(5x+2y)²=(5x)²+2(5x)(2y)+(2y)².

=25x²+20xy+4y².

(5x-2y)².

It is in the form of (a-b)²=a²-2ab+b².

Where a=5x & b=2y.

(5x-2y)²=(5x)²-2(5x)(2y)+(2y)².

=25x²-20xy+4y².

(5x+2y)²-(5x-2y)²=(25x²+20xy+4y²)-(25x²-20xy+4y²).

=25x²+20xy+4y²-25x²+20xy-4y². (Because -×-=+ & -×+=-).

=40xy. (Because +×-=- so, 25x²-25x² & 4y²-4y² will cancel therefore 20xy+20xy=40xy). (Because +×+=+).

I think this is your answer.

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