Question

4. See if you can find "like-terms" in the expression and

simplify it.
4- 2x + x^2 -+ 5x + 12 + 2x^2
ny of

Answer 1

After finding like terms and solving, we get
`\mathbf{3x^2+3x+16}`

Explanation:

We need to find like terms and simplify the expression
`4- 2x + x^2 + 5x + 12 + 2x^2`

Like terms: The terms who have same variable and exponent are called like terms.

So, Combining like terms and solving:

`4- 2x + x^2 + 5x + 12 + 2x^2\\=4+12-2x+5x+x^2+2x^2\\Now \ solving:\\=16+3x+3x^2\\Rearranging \ the \ terms:\\=3x^2+3x+16`

So, after finding like terms and solving, we get
`\mathbf{3x^2+3x+16}`

Note: In the question given we have - and + sign with the term 5x i.e 4- 2x + x^2 -+ 5x + 12 + 2x^2

I have solved using +5x, but if the term is -5x then the solution will be:

`4- 2x + x^2 - 5x + 12 + 2x^2\\=4+12-2x-5x+x^2+2x^2\\Now \ solving:\\=16-7x+3x^2\\Rearranging \ the \ terms:\\=3x^2-7x+16`

So, the answer will be:
`\mathbf{3x^2-7x+16}`