Question

Simplify, 5(2x + 3y) - 4(3x - 5y)

Answer 1

`-2x+35y`

Explanation:

`5\left(2x+3y\right)-4\left(3x-5y\right)`

Expand:-

`\hookrightarrow 10x+15y-4\left(3x-5y\right)`

`\hookrightarrow 10x+15y-12x+20y`

Combine
`10x` and
`-12x` =
`-2x`

`\hookrightarrow -2x+15y+20y`

Combine
`15y` and
`20y` =
`35y`

`\hookrightarrow -2x+35y`

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Answer 2

5(2x + 3y) - 4(3x - 5y)

5(2x) + 5(3y) - 4(3x) + 4(5y)

(10x + 15y) + (-12x + 20y)

(10x - 12x) + (15y + 20y)

-2x + 35y