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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)

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73.

Find the4 product:

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

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74.

(a²+ b) (a + b²)

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75.

Find the4 product:

(p² - q²)(2p + q)

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76.

Simplify :

(x² - 5) |( x - 5) + 25

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77.

Simplify :

(a² + 5) ( b³ + 3) + 5

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78.

Simplify :

(t + s²)(t²- s)

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79.
Simplify :

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

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

                     = a (c- d) + b( c - d) + a (c + d) - b ( c+ d) + 2 (ac + bd)
                     = ( ac - ad) + ( bc - bd) + ( ac + ad ) - ( bd + bd) + 2( ac + bd)
                     = ac - ad + bc - bd + ac + ad - bc -bd + 2ac + 2bd
                     = ac + ac + 2ac
                     = 4ac

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