f a c t o r i s e colon space 3 a cubed b minus 243 a b cubed comma space x to the power of 4 minus 625 comma space a cubed b cubed plus a plus b comma space x open parentheses x minus y close parentheses cubed plus 3 x squared y open parentheses x minus y close parentheses comma 2 x squared minus 3 x squared minus 17 x plus 30 comma space 24 square root of 3 x cubed minus 125 y cubed comma a to the power of 7 minus a b to the power of 6

Asked by kishor.kp14 | 26th Jun, 2019, 04:05: PM

Expert Answer:

1) 3a3b - 243ab3
= 3ab(a2 - 81b2)
= 3ab(a - 9b)(a + 9b)           ... since x2 - y2 = (x - y)(x + y)
 
2) x4 - 625
= x4 - 54
= (x2)2   - (52)2
= (x2 - 52)(x2 + 52)               ... since (xm)n   = xmn
= (x - 5)(x + 5)(x2 + 25)       ... since x2 - y2 = (x - y)(x + y)

Answered by Yasmeen Khan | 26th Jun, 2019, 05:39: PM

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