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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

143 Views

145.

Divide:

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146.
Simplify: –45p³ + 9p²

We have        -45p³ = (-1) × 3 × 3 × 5 × p × p × p

                     9p² = 3 × 3 × p × p

∴ [-45p³] + 9p² = [(-1) × 3 × 3 × 5 × p × p × p] $divided by$ (3 × 3 × p × p)

                      = $fraction numerator left parenthesis negative 1 right parenthesis cross times 3 cross times 3 cross times 5 cross times straight p cross times straight p cross times straight p over denominator 3 cross times 3 cross times straight p cross times straight p end fraction$

= $space space fraction numerator negative 1 cross times 5 cross times straight p over denominator 1 cross times 1 end fraction$

= -1 $cross times$ 5p

= -5p