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Factorisation

Short Answer Type

141.

Factorise:
p² - 8p + 16

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142.

Factorise:

121x² + 44xy + 4y²

135 Views

143.

Factorise: 54x² – 96y²

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144.

Factorise: 81a⁴ – 16b⁴

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145.

Divide:

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146.

Simplify: –45p³ + 9p²

134 Views

147.

Simplify: 4x²y²(3z – 24) + 36xy(z – 8)

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148.
Divide: 81x³(50x² – 98) by 27x²(5x + 7)

We have       50x² - 98 = 2(25x² - 49)

                               = 2[(5x)² - (7)²]

                               = 2[(5x + 7)(5x - 7)] [Using a² - b² = (a + b)(a - b)]

Now,         $fraction numerator 81 straight x cubed left square bracket 50 straight x squared minus 98 right square bracket over denominator 27 straight x squared left square bracket 5 straight x plus 7 right square bracket end fraction space equals space fraction numerator 81 straight x cubed over denominator 27 straight x squared end fraction open square brackets fraction numerator 2 left parenthesis 5 straight y space minus 7 right parenthesis left parenthesis 5 straight y space plus space 7 right parenthesis over denominator left parenthesis 5 straight y space plus space 7 right parenthesis end fraction close square brackets$

                                          = 3x[2(5y - 7)]

                                          = 3x × 2 × (5y -7)

                                          = 6x(5y - 7)