Express each of the following in factors
form:
(i) a3(b - c)3 + b(c - a)3 + c3(a - b)3.
(ii) (5x - 3y)3 + (3y - 8z)3 + (82 - 5x)3.
Answers
Answered by
3
Step-by-step explanation:
i) Let's simplify step-by-step.
a3(b−c)(3)+b(c−a)(3)+c3(a−b)(3)
Distribute:
=3a3b+−3a3c+−3ab+3bc+3ac3+−3bc3
Answer:
=3a3b−3a3c+3ac3−3bc3−3ab+3bc
ii) Let's simplify step-by-step.
(5x−3y)(3)+(3y−8z)(3)+(82−5x)(3)
Distribute:
=(5x)(3)+(−3y)(3)+(3y)(3)+(−8z)(3)+(82)(3)+(−5x)(3)
=15x+−9y+9y+−24z+246+−15x
Combine Like Terms:
=15x+−9y+9y+−24z+246+−15x
=(15x+−15x)+(−9y+9y)+(−24z)+(246)
=−24z+246
Answer:
=−24z+246
Similar questions