Answer:
After finding like terms and solving, we get [tex]\mathbf{3x^2+3x+16}[/tex]
Step-by-step explanation:
We need to find like terms and simplify the expression [tex]4- 2x + x^2 + 5x + 12 + 2x^2[/tex]
Like terms: The terms who have same variable and exponent are called like terms.
So, Combining like terms and solving:
[tex]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[/tex]
So, after finding like terms and solving, we get [tex]\mathbf{3x^2+3x+16}[/tex]
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:
[tex]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[/tex]
So, the answer will be: [tex]\mathbf{3x^2-7x+16}[/tex]
