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Brut [27]
3 years ago
7

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

Mathematics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:

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

Step-by-step 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}

<u><em>Note: In the question given we have - and + sign with the term 5x</em></u> 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}

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