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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:

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

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44.

Factorise:

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

86 Views

45.

Factorise:

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46.

78 Views

47.

Factorise:

$space space space 16 straight x to the power of 5 space minus space 144 straight x cubed$

94 Views

48.
Factorise:

(l + m)² - (l-m)²

Using the identity a²- b² = (a+b)(a-b), we have

(l + m)² - (l-m)² = [(l + m) + (l -m)][(l + m) - (l - m)]

                        = [l + m + l - m][l + m - l + m]

                        = (2l)(2m) = 2 $cross times$ 2(l × m)

                        = 4lm