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(2xy + 5y) 2 Using the identity (a + b) 2 = a 2 + 2ab + b 2 , we have (2xy + 5y) 2 = (2xy) 2 + 2 (2xy)(5y) + (5y) 2 = 4x 2 y 2 + 20x 2 y 2 + 25y 2

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Algebraic Expressions and Identities

Short Answer Type

111.

Find the following squares by using the identities.

(xy + 3z)²

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112.

Find the following squares by using the identities.

(6x² - 5y)²

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113.

Find the following squares by using the identities.

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114.

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115.
Find the following squares by using the identities.

(2xy + 5y)²

(2xy + 5y)²

Using the identity (a + b)²= a²+ 2ab + b², we have

(2xy + 5y)² = (2xy)² + 2 (2xy)(5y) + (5y)²
= 4x²y²+ 20x²y² + 25y²

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116.

Simplify:

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117.

Simplify:

(2x + 5)²- (2x - 5)²

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118.

Simplify:

(7m - 8n)²- (7m + 8n)²

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119.

Simplify:

(4m + 5n)²+ (5m + 4n)²

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120.

Simplify:

(2.5p - 1.5q)² - (1.5p - 2.5q)²

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Test Series

Test Yourself

Short Answer Type

115. Find the following squares by using the identities.(2xy + 5y)2

115.
Find the following squares by using the identities.

(2xy + 5y)²