Question

factorize : x³-8y³+1+6xy​

Answer 1

Answer:

(i) x3 + 8y3 + 6xy – 1 = x3 + (2y)3 + (-1)3 – 3(x)(2y)(-1)  = (x + 2y – 1) (x2 + 4y2 + 1 – 2xy + 2y + x) (ii) l3 – 8m3 – 27n3 – 18lmn = l3 + (-2m)3 + (-3n)3 -3 (l) (-2m) (-3n)  = (l – 2m – 3n) (l2 + (-2m)2 + (-3n)3 – l x – 2m – (-2m x -3n) – (-3n x l))  = (l – 2m – 3n) (l2 + 4m2 + 9n2 + 2lm – 6mn + 3nl).

Step-by-step explanation:

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