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Factorisation

Short Answer Type

41.

Factorise the following expression:

121b² - 88bc + 16c²

264 Views

42.

Factorise the following expression:

(l+m)² - 4lm

513 Views

43.

Factorise the following expression:

$straight a to the power of 4 space plus space 2 straight a squared straight b squared plus straight b to the power of 4$

84 Views

44.

Factorise:

$4 straight p squared space minus space 9 straight q squared$

86 Views

45.
Factorise:

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We have

$space space 63 straight a squared minus 112 straight b squared space equals space 7 space cross times space 9 straight a squared space minus space 7 space cross times space 16 straight b squared$

= $7 left parenthesis 9 straight a squared minus 16 straight b squared right parenthesis$

∵ $9 straight a squared space minus space 16 straight b squared space space equals space left parenthesis 3 straight a right parenthesis squared space minus space left parenthesis 4 straight b right parenthesis squared$

= (3a + 4b) (3a - 4b) [Using $straight a squared minus straight b squared equals space left parenthesis straight a minus straight b right parenthesis space left parenthesis straight a plus straight b right parenthesis right square bracket$

∴ $space space 63 straight a squared minus 112 straight b squared space equals space 7 left square bracket left parenthesis 3 straight a space plus space 4 straight b right parenthesis space left parenthesis 3 straight a minus 4 straight b right parenthesis right square bracket$

155 Views

46.

Factorise:

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