Math Problem Statement

Simplify

Simplify 7x^2 + 9x - 3 + 10x^2 + 7

Solution

Let's simplify the expression provided in the image:

7x2+9x3+10x2+77x^2 + 9x - 3 + 10x^2 + 7

Step 1: Combine like terms.

  • For x2x^2 terms: 7x2+10x2=17x27x^2 + 10x^2 = 17x^2
  • For constant terms: 3+7=4-3 + 7 = 4

So, the simplified expression is:

17x2+9x+417x^2 + 9x + 4

This is the simplified form of the given expression.

Do you have any questions or need further details?


Here are some related questions to deepen your understanding:

  1. How do you factor a quadratic expression like 17x2+9x+417x^2 + 9x + 4?
  2. What are like terms and how do we combine them in algebraic expressions?
  3. How would you expand a factored form of a quadratic expression?
  4. What is the general method for simplifying expressions with multiple variables?
  5. Can this quadratic expression be solved for roots using the quadratic formula?

Tip: Always check for common terms before simplifying an algebraic expression to avoid missing any combination opportunities.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions

Formulas

Combining like terms
Addition and subtraction of algebraic terms

Theorems

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Suitable Grade Level

Grades 7-9