Question

simplify
(3x+5y)2+(3x-5y)2​

Answer 1

Answer:

Step-by-step explanation:

(3x+5y)²+(3x-5y)²

=(3x)²+(5y)²+2(3x)(5y)+(3x)²+(5y)²-2(3x)(5y)=9x²+25y²+9x²+25y²

=18x²+50y²(answer)

Hope it will help you.

Answer 2

(3x + 5y)² + (3x - 5y)² = 18x² + 50y²

Given :

The expression (3x + 5y)² + (3x - 5y)²

To find :

The value of the expression

Formula :

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(3x + 5y)² + (3x - 5y)²

Step 2 of 2 :

Find the value of the expression

$\sf {(3x + 5y)}^{2} + {(3x - 5y)}^{2}$

$\sf = {(3x)}^{2} + 2 .3x.5y + {(5y)}^{2} + {(3x)}^{2} - 2.3x.5y + {(5y)}^{2}$

$\sf = 9 {x}^{2} + 30xy + 25 {y}^{2} +9 {x}^{2} - 30xy + 25 {y}^{2}$

$\sf = 9 {x}^{2} + 25 {y}^{2} +9 {x}^{2} + 25 {y}^{2}$

$\sf = 18 {x}^{2} + 50 {y}^{2}$

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