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Algebraic Expressions and Identities

Short Answer Type

71.
Multiply the binomials

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space space space space space open parentheses 3 over 4 straight a squared plus 3 straight b squared close parentheses straight x 4 open parentheses straight a squared minus 2 over 3 straight b squared close parentheses

space space space space space space space space space space space space space space space space space equals space space space space space space space 3 over 4 straight a squared straight x 4 open parentheses straight a squared minus 2 over 3 straight b squared close parentheses plus 3 straight b squared straight x 4 open parentheses straight a squared minus 2 over 3 straight b squared close parentheses

space space space space space space space space space space space equals space space space space open parentheses 3 straight a squared cross times straight a squared close parentheses minus open parentheses 3 straight a squared 2 over 3 straight b squared close parentheses plus open parentheses 12 straight b squared cross times straight a squared close parentheses minus open parentheses 12 straight b squared cross times 2 over 3 straight b squared close parentheses

                          = 3a⁴ + 2a²b² + 122a²b²-8b⁴
                          = 3a⁴ + (-2 + 12)a²b² -8b⁴

                            = 3a⁴ + 10a²b² -8b⁴

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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)

192 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

71. Multiply the binomials