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(x +y) (2x + y) + (x + 2y)( x- y) = x(2x + y) + y(2x + y) + x(x - y) + 2y(x - y) = (x X 2x) + (x X y) + ( y x 2x) + ( y x y) + ( x X x) - ( x X y) + ( 2y X x) -(2y x y) = 2x 2 + xy + 2xy + y 2 + x 2 - xy + 2xy - 2y 2 = (2x 2 + x 2 ) + ( xy + 2xy - xy + 2xy) + (y 2 - 2y 2 ) = 3x 2 + 4xy - y 2

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Algebraic Expressions and Identities

Short Answer Type

71.

Multiply the binomials

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72.

Find the4 product:

(5 - 2x)(3 + x)

73 Views

73.

Find the4 product:

(x + 7y)(7x - y)

280 Views

74.

(a²+ b) (a + b²)

78 Views

75.

Find the4 product:

(p² - q²)(2p + q)

174 Views

76.

Simplify :

(x² - 5) |( x - 5) + 25

232 Views

77.

Simplify :

(a² + 5) ( b³ + 3) + 5

81 Views

78.

Simplify :

(t + s²)(t²- s)

185 Views

79.

Simplify :

(a + c)(c - d) + (a - b) (c + d) + 2( 2 ac + bd)

99 Views

80.
Simplify

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

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

= x(2x + y) + y(2x + y) + x(x - y) + 2y(x - y)
= (x X 2x) + (x X y) + ( y x 2x) + ( y x y) + ( x X x) - ( x X y) + ( 2y X x) -(2y x y)
= 2x²+ xy + 2xy + y²+ x²- xy + 2xy - 2y²

= (2x²+ x²) + ( xy + 2xy - xy + 2xy) + (y²- 2y²)
= 3x² + 4xy - y²

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Previous Year Papers

Test Series

Test Yourself

Short Answer Type

80. Simplify(x + y) (2x +y) + (x +2y) (x - y)

80.
Simplify

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