Questions: Combine like terms. 9x^2 - 2x + 7 - 2x - 5 + 5x^2 14x^2 - 4x + 2 12x^3 14x^4 - 4x^2 + 2 12x^2 + 7x - 7

Solution Steps

To combine like terms in the given expression, we need to group the terms with the same variable and exponent together and then sum their coefficients. This involves identifying terms with \(x^2\), \(x\), and constant terms, and then performing the arithmetic operations to simplify the expression.

In the expression \(9x^2 - 2x + 7 - 2x - 5 + 5x^2\), we identify the like terms:

• The \(x^2\) terms: \(9x^2\) and \(5x^2\)
• The \(x\) terms: \(-2x\) and \(-2x\)
• The constant terms: \(7\) and \(-5\)

We combine the coefficients of the like terms:

• For \(x^2\): \(9 + 5 = 14\)
• For \(x\): \(-2 - 2 = -4\)
• For the constants: \(7 - 5 = 2\)

Thus, the combined expression is \(14x^2 - 4x + 2\).

Final Answer