Question

3 (p+q) -5 (p-q) expand and simplify

Answer 1

The answer is:

-2p + 8q

Work/explanation:

Let's use the distibutive property:

`\sf{3(p+q)-5(p-q)}`

`\sf{3p+3q-5p+5q}`

Now combine the like terms,

`\sf{3p-5p+3q+5q}`

`\sf{-2p+8q}`

We can't simplify this any further; we have arrived at our final answer.

Hence, the answer is -2p + 8q.

Answer 2

-2p + 8q

Explanation:

Distribute 3 and -5 in:

`\displaystyle{=3\cdot p + 3\cdot q -5\cdot p -5\cdot \left(-q\right)}\\\\\displaystyle{=3p+3q-5p+5q}`

Add the like terms:

`\displaystyle{=\left(3p-5p\right)+\left(3q+5q\right)}\\\\\displaystyle{=-2p+8q}`

Therefore, the answer is -2p + 8q