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Factorisation

Short Answer Type

91.

Work out the following division:

(10x - 25) $divided by$ (2x - 5)

331 Views

92.

Work out the following division:

10y(6y + 21) $divided by$ 5(2y + 7)

382 Views

93.
Work out the following division:

$9 straight x squared straight y squared left parenthesis 3 straight z minus 24 right parenthesis divided by 27 xy left parenthesis straight z minus 8 right parenthesis$

∵ 3z - 24 = 3(z-8)

∴       $space space fraction numerator 9 straight x squared straight y squared left parenthesis 3 straight z minus 24 right parenthesis over denominator 27 xy left parenthesis straight z minus 8 right parenthesis end fraction space equals space fraction numerator 3 cross times 3 cross times straight x squared cross times straight y squared cross times 3 cross times left parenthesis 3 straight z minus 8 right parenthesis over denominator 3 cross times 3 cross times 3 cross times straight x cross times straight y cross times left parenthesis 3 straight z minus 8 right parenthesis end fraction$

                                   = $straight x squared over straight x space cross times space straight y squared over straight y space equals space straight x to the power of 2 minus 1 end exponent space straight y to the power of 2 minus 1 end exponent$
                                   = xy

∴ $space space 9 straight x squared straight y squared left parenthesis 3 straight z minus 24 right parenthesis divided by 27 xy left parenthesis straight z minus 8 right parenthesis space equals space xy$

74 Views

94.

Work out the following division:

96abc(3a - 12)(5b - 30) $divided by$ 144(a - 4)(b - 6)

254 Views

95.

Divide as directed.

5(2x + 1)(3x + 5) $divided by$ (2x + 1)

152 Views

96.

Divide as directed.

26xy(x + 5) (y - 4) $divided by$ 13x(y - 4)

131 Views

97.

Divide as directed.

52pqr (p + q)(q + r)(r + p) $divided by$ 104pq(q + r)(r + p)

179 Views

98.

Divide as directed.

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61 Views

99.

Divide as directed.

x(x + 1) (x + 2) (x + 3) $divided by$ x(x + 1)

68 Views

100.

Factorise the expressions and divide them as directed.

$space space left parenthesis straight y squared plus 7 straight y plus 10 right parenthesis space divided by space left parenthesis straight y space plus space 5 right parenthesis$

96 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

93. Work out the following division:

93.
Work out the following division:

$9 straight x squared straight y squared left parenthesis 3 straight z minus 24 right parenthesis divided by 27 xy left parenthesis straight z minus 8 right parenthesis$