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Algebraic Expressions and Identities

Short Answer Type

151.

Subtract 4p²q + 5pq² – 3pq + 7q – 8p – 10 from 5p²q – 2pq² + 5pq – 11q – 3p + 28

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152.

Find the product of (5p² + 4p + 7) and (p + 2).

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153.
Simplify 3x(2x – 1) + 8 and find its values at x = –1.

3x(2x – 1) + 8 = (3x X 2x) -(3x X 1) + 8
                    = 6x²-3x + 8

Now, for X = -4, we have

6x²-3x + 8 = 6(-1)²-3(-1) + 8
                = 6(1) + 3 + 8
                = 6 + 3 + 8
                = 17.

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154.

Simplify: (x² – 6)(x – 6) + 36

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155.

Verify the identity (x + a)( x + b) = x² + (a + b)x + ab for a = 2, b = 3 and x = 4,

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156.

The length and breadth of a rectangle are 3x² – 2 and 2x + 5 respectively. Find its area.

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157.

Find the volume of cuboid whose dimensions are (x² – 2); (2x + 2) and (x – 1).

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Multiple Choice Questions

158.

What is the mumerical co-effcient of -3xy?

3
-3
-xy

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159.

What is the mumerical co-effcient of in -5xyz?

-5
5
-5xy

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160.

What is the mumerical co-effcient of x²y²?

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