Question

[18].Simplify (TTE): x(2x+y+5) - 2(x²+xy+5) + y(x + y)
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Answer 1

`x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10 + y\²`

Explanation:

Given

`x(2x+y+5) - 2(x\²+xy+5) + y(x + y)`

Required

Simplify

We have:

`x(2x+y+5) - 2(x\²+xy+5) + y(x + y)`

Open brackets

`x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²+xy+5x - 2x\²-2xy-10 + xy + y\²`

Collect like terms

`x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²- 2x\²+xy-2xy+ xy+5x -10 + y\²`

`x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10 + y\²`