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Algebraic Expressions and Identities

Short Answer Type

81.

Simplify:

(x + y) (x²-xy + y²)

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82.

Simplify:

(1.5x - 4y) (1.5x + 4y + 3) - 4.5x + 12y

376 Views

83.

Simplify:

(a +b + c)(a + b + c)

128 Views

84.

Find the product of

(i) ( 3a + 4b) and (2a + 3b)

(ii) ( x - 4) and ( 2x +3)

107 Views

85.

Multiply : ( x - y) and ( 3x + 5y)

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86.

Multiply :

(i) (a + 7) and ( b -5)

(ii) ( a²+ 2b²)9 and ( 5a - 3b)

132 Views

87.

Simplify :

(i) (a + 7) (a²+ 3a + 5)

(ii) (a + b) (2a - 3b + c) - (2a - 3b)c

226 Views

88.
Verify Identity (IV), for a = 2, b = 3, x = 5.

We have

   ( x + a) ( x + b) = x²+ ( a + b)x + ab

Putting a = 2, b = 3 and x = 5 in the indentity:

                   LHS = ( x + a ) ( x + b )
                         = ( 5 + 2) (5 +3)
                         = 7 x 8
                         = 56

                 RHS = x²+ ( a + b )x + ab
       = (5)²+ (2 + 3) x 5 + (2 x 3)
         = 25 + (5) x 5 + 6
         = 25 + 25 + 6
       = 56