Question

(ii) x3 – x2 - xy + x + y - 1. factorise
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Answer 1

Factorise:

Factorise:x³-x²-xy+x+y-1

Answer:

(x²-y+1) (x-1).

Step-by-step explanation:

x³-x²-xy+x+y-1

x³-x²-xy+x+y-1x³-x²-xy+y+x-1

x³-x²-xy+x+y-1x³-x²-xy+y+x-1x²(x-1)-y(x-1)+1(x-1)

x³-x²-xy+x+y-1x³-x²-xy+y+x-1x²(x-1)-y(x-1)+1(x-1)(x²-y+1)(x-1)

x³-x²-xy+x+y-1x³-x²-xy+y+x-1x²(x-1)-y(x-1)+1(x-1)(x²-y+1)(x-1)Therefore, (x²-y+1)(x-1) are factors of x³-x²-xy+x+y-1.

Hope this help you.

Thank you.