Question

Using the idenentity (a-b)^2 =a^2-2ab+b^2 to compute (3x-5y)^2

Answer 1

We have,

$\quad {(3x - 5y)}^{2} \\ \\ = {(3x)}^{2} - 2(3x)(5y) + {(5y)}^{2} \\ \\ = 9 {x}^{2} - 30xy + 25 {y}^{2}$

Identity Used :—
$\underline{ \boxed{ \tt \quad {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \quad}}$

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Answer 2

Answer:

9x^2-30xy+25y^2

Explanation : in the given question a=3x b=5y

(a-b)^2=a^2 -2ab+b^2

(3x-5y)^2=(3x)^2-2*3x*5y+(5y)^2

= 9x^2-30xy+25y^2

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