Question

Q3) Simplify: (5x+3y)2 + (5x-3y)2​

Answer 1

Answer:

20x

Step-by-step explanation:

10x+6y+10x-6y

20x

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Answer 2

Step-by-step explanation:

Given expression is (5x+3y)2 + (5x-3y)2

qe know that (a+b)²=a²+2ab+b² and

(a-b)²=a²-2ab+b²

Here , a=5x and b=3y

Then we get

=>[(5x)²+2(5x)(3y)+(3y)²]+[(5x)²-2(5x)(3y)+(3y)²]

=>(25x²+30xy+9y²)+(25x²-30xy+9y²)

=>25x²+30xy+9y²+25x²-30xy+9y²

=>50x²+18y²

(5x+3y)²+(5x-3y)²=50x²+18y²

(or)

5x+3y)²+(5x-3y)²

It is in the form of (a+b)²+(a-b)²

Here a=5x and b=3y

We know that

(a+b)²+(a-b)²=2(a²+b²)

=>2[(5x)²+(3y)²]

=>2(25x²+9y²)

=>50x²+18y²

(5x+3y)²+(5x-3y)²=50x²+18y²