factorise (a+b)cube+(b+C)cube+(a+C)-3(a+b)(b+c)(a+c)
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Step-by-step explanation:
step 1: assign variable
let (a+b) be x
let (b+c) be y
let (a+d) be z
step:2: factorize using identity:
x³+y³+z³- 3xyz = (x+y+z)(x²+y²+z²-xy -yz - xz)
= (x+y+z)(x²+y²+z²-xy -yz - xz)
step:3: final answer
((a+b)+(c+b)+(a+c))(((a+b)²+(c+b)²+(a+c)²-(a+b)(c+b)-(c+b)(a+c)-(a+c)(a+b))
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