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Simplification of an Expression

Solve: 52x+y...

Question

Solve: $5 (2 x + y)^{2} - (2 x + y) (x - 2 y)$

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Solution

$5 (2 x + y)^{2} - (2 x + y) (x - 2 y)$
$\Rightarrow 5 [(2 x + y) (2 x + y)] - [(2 x + y) (x - 2 y)]$
$\Rightarrow 5 [4 x^{2} + 2 x y + 2 x y + y^{2}] - [2 x^{2} + x y - 4 x y - 2 y]$
$\Rightarrow 5 [4 x^{2} + 4 x y + y^{2}] - [2 x^{2} - 3 x y - 2 y^{2}]$
$\Rightarrow 20 x^{2} + 20 x y + 5 y^{2} - 2 x^{2} + 3 x y + 2 y^{2}$
$\Rightarrow 13 x^{2} + 23 x y + 7 y^{2}$ Ans

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Similar questions

x^{2} - y^{2} - 2 x + 2 y

Q. State whether True or False.

Factorization of

x^{2} - y^{2} - 2 x + 2 y

(x - y) (x + y - 2)

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\frac{d}{d x} \sqrt{(2 x + 5) (2 x + 24 + 5)} .

Q. Solve the following systems of equations graphically:

x − 2y = 5
2x + 3y = 10

Q. Solve the following equation.

(x + y)^{2 / 3} + 2 (x - y)^{2 / 3} = 3 (x^{2} - y^{2})^{1 / 3}, 3 x - 2 y = 13

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Simplification of an Expression

Standard VIII Mathematics

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