Factorise:(x2 - 2xy + y2) - z2 from Mathematics Factorisation

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 Multiple Choice QuestionsShort 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

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45.

Factorise:

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#6 {main}</pre>


155 Views

46.

Factorise:

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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

301 Views

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49.

Factorise:

9x2y2 - 16

119 Views

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50.

Factorise:

(x2 - 2xy + y2) - z2


We have   (x2 - 2xy + y2) = (x - y)2

∴  (x2 - 2xy + y2) - z2 = (x - y)2 - (z)2         
                                        
= [(x - y) + z] [(x - y) - z]

                                                [Using a2 - b2 = (a + b) (a - b)]

                               = (x - y + z)(x - y - z)

∴  (x2 - 2xy + y2) - z2 = (x - y + z) (x - y -z)

445 Views

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