Simplify (5x^2 + 4xy - 3) - (6x^2 + 12xy - 4y^2 + 5)

Published on August 4, 2024

Algebra

Simplify the algebraic expression (5x² + 4xy - 3) - (6x² + 12xy - 4y² + 5). The solution is -x² - 8xy + 4y² - 8.

Question

simplify it

Answer

Let’s simplify the expression step-by-step:

Distribute the negative sign:

The minus sign in front of the parentheses means we multiply each term inside the second parentheses by -1:

This becomes:
Combine like terms:

Identify terms with the same variables and exponents:
- terms:
- terms:
- terms: (no other terms)
- Constant terms:
Put it all together:

Combine the simplified terms:

Therefore, the simplified expression is:

🚀 Try Free Math Help Now!🏠 Learn More Powerful Features

Related math solutions

Solve Linear Equation 2(m+4)=30

Find the value of m in the equation 2(m+4)=30 by simplifying and isolating the variable.

Finding the Minimum Point by Completing the Square for y = x^2 - 10x + 9

Learn how to find the minimum coordinates of the quadratic curve y = x^2 - 10x + 9 by using the method of completing the square to rewrite the equation in vertex form.

Find the Inequality Represented by the Graph with a Dashed Line

The graph shows a dashed boundary line passing through (0, -3) and (3, -2) with the region above it shaded. By calculating the slope of 1/3 and testing a point, the inequality is determined to be y > (1/3)x - 3.

Solve an Absolute Value Equation with Fractions

Solve |(5x−1)/2| = |(3x+1)/4| by multiplying both sides by 4, then considering equal and opposite expressions inside the absolute values. The solutions are x = 3/7 and x = 1/13.

Comprehensive Mathematics Exam Solutions for Trigonometry, Algebra, and Calculus

Step-by-step solutions to a variety of mathematical problems including trigonometric equations, joint variation, quadratic equations, sequence formulas, and proofs.

🔎 Explore All Shared Math Solutions