Question

Factorise: (a) a3 + 343b3 (b) 27p3+q3​

Answer 1

Answer:

hii mate...

sol:-

(a) (a)^3+(7b)^3 =

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

(a+7b) ( a^2+7b^2+7ab)

(b) (3p)^3+(q)^3

(3p+q) (3p^2+q^2+3p*q)

(3p+q) (9p^2+q^2+3pq)

|------------------------|

a^3+b^3 = (a+b) ( a^2+b^2+ab)

|------------------------|

Hope it helps u...

Answer 2

Answer:

(a) (a)³+(7b)³

= (a+7b)³-3(a)(7b)(a+7b)

=(a+7b)²(a+7b)-21ab(a+7b)

=(a²+49b²+14ab-21ab)(a+7b)

=(a²+49b²-14ab)(a+7b)

=(a-7b)(a-7b)(a+7b)

(b) Using the same process 27p³+q³

= (3p-q)(3p-q)(3p+q)