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Factorisation

Short Answer Type

141.

Factorise:
p² - 8p + 16

124 Views

142.

Factorise:

121x² + 44xy + 4y²

135 Views

143.

Factorise: 54x² – 96y²

134 Views

144.
Factorise: 81a⁴ – 16b⁴

We have      81a² - 16b⁴ = (9a²)² - (4b²)²

                                 = $left parenthesis 9 straight a squared space plus space 4 straight b squared right parenthesis space left parenthesis 9 straight a squared space minus space 4 straight b squared right parenthesis$

                                     [Using A² - B² = (A + B)(A - B)]

                                 = $left parenthesis 9 straight a squared space plus space 4 straight b squared right parenthesis space left square bracket left parenthesis 3 straight a right parenthesis squared space minus space left parenthesis 2 straight a right parenthesis squared right square bracket$

                                 = $space space space space left parenthesis 9 straight a squared space plus space 4 straight b squared right parenthesis space left square bracket left parenthesis 3 straight a space plus space 2 straight b right parenthesis left parenthesis 3 straight a space minus 2 straight b right parenthesis right square bracket$

                                 = $left parenthesis 9 straight a squared space plus space 4 straight b squared right parenthesis left parenthesis 3 straight a space plus space 2 straight b right parenthesis left parenthesis 3 straight a space minus space 2 straight b right parenthesis$

143 Views

145.

Divide:

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