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Addition and Subtraction of Algebraic Expression

Solve: 2x2+...

Question

Solve: $2 x^{2} + 5 x - 1 + 8 x + x^{2} + 7 - 6 x + 3 - 3 x^{2}$

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Solution

Consider the given expression $2 x^{2} + 5 x - 1 + 8 x + x^{2} + 7 - 6 x + 3 - 3 x^{2}$ and solve it by combining like terms as shown below:

$2 x^{2} + 5 x - 1 + 8 x + x^{2} + 7 - 6 x + 3 - 3 x^{2} = (2 x^{2} + x^{2} - 3 x^{2}) + (5 x + 8 x - 6 x) + (- 1 + 7 + 3) = (3 x^{2} - 3 x^{2}) + (13 x - 6 x) + (- 1 + 10) = 0 + 7 x + 9 = 7 x + 9$

Hence, $2 x^{2} + 5 x - 1 + 8 x + x^{2} + 7 - 6 x + 3 - 3 x^{2} = 7 x + 9$ .

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