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(2x +5y) (2x + 3y) = (2x) 2 + (5y + 3y)2x + (5y x 3y) = 4x 2 + (5 + 3)y x 2x + 15y 2 = 4x 2 + (5 + 3)y x 2x + 15y 2 = 4x 2 + [8y x 2x ]+ 15y2 = 4x 2 + 16yx + 15y 2

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Algebraic Expressions and Identities

Short Answer Type

101.

Use a suitable identity to get each of the following products.

(7a - 9b) (7a - 9b)

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102.

Use the identity (x + a)(x + b) = x² + (a + b)x + ab to find the following products.

(i) (x + 3) (x + 7)

102 Views

103.

Use the identity (x + a)(x + b) = x² + (a + b)x + ab to find the following products.

(4x + 5) (4x + 1)

99 Views

104.

Use the identity (x + a)(x + b) = x² + (a + b)x + ab to find the following products.

(4x - 5) (4x - 1)

80 Views

105.

Use the identity (x + a)(x + b) = x² + (a + b)x + ab to find the following products.

(4x + 5) (4x - 1)

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106.
Use the identity (x + a)(x + b) = x² + (a + b)x + ab to find the following products.

(2x +5y) (2x + 3y)

(2x +5y) (2x + 3y) = (2x)²+ (5y + 3y)2x + (5y x 3y)
                          = 4x²+ (5 + 3)y x 2x + 15y²
                          = 4x²+ (5 + 3)y x 2x + 15y²
                          = 4x²+ [8y x 2x ]+ 15y2
                          = 4x²+ 16yx + 15y²