Factorise : (i) ab – 2b + a2 – 2a (ii) 32 + 63 (iii) 42 − 32 + 64 (iii) 42 − 812 (iv) 2 +14a + 49 (iv) a4 – b4. Created by nashwanafa725.

Factorise : (i) ab – 2b + a2 – 2a (ii) 32 + 63 (iii) 42 − 32 + 64 (iii) 42

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Factorise :
(i) ab – 2b + a2 – 2a (ii) 32 + 63
(iii) 42 − 32 + 64 (iii) 42 − 812
(iv) 2 +14a + 49 (iv) a4 – b4

Answer:

(i) ab - 2b + a^2 - 2a

= a(b-2) + (a-2)(a)

(ii) 3x^2 + 6x^3

= 3x^2(1 + 2x)

(iii) 4p^2 - 32p + 64

= 4(p^2 - 8p + 16)

(iv) 4x^2 - 81y^2

= (2x)^2 - (9y)^2

(v) a^2 + 14a + 49

= (a+7)^2

(vi) a^4 - b^4

= (a^2 + b^2)(a^2 - b^2)