Simplify (x^(2)-5x+7)-(3x^(2)-4x+2)

Write Expression: Write down the expression to be simplified. (x^(2)-5x+7)-(3x^(2)-4x+2)Distribute Negative Sign: Distribute the negative sign to the terms inside the second parenthesis. (x^(2)-5x+7)-1*(3x^(2))-1*(-4x)+1*(-2)Combine Like Terms: Simplify the expression by combining like terms. x^(2) - 5x + 7 - 3x^(2) + 4x - 2Combine x^(2) Terms: Combine the x^(2) terms. x^(2) - 3x^(2) = -2x^(2)Combine x Terms: Combine the x terms. -5x + 4x = -xCombine Constant Terms: Combine the constant terms. 7 - 2 = 5Write Simplified Expression: Write the simplified expression with the combined terms. -2x^(2) - x + 5

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify $\left(x^{2}-5 x+7\right)-\left(3 x^{2}-4 x+2\right)$

View step-by-step help

Home

Math Problems

Algebra 1

Evaluate integers raised to rational exponents

Full solution

Q. Simplify

\left(x^{2}-5 x+7\right)-\left(3 x^{2}-4 x+2\right)

Write Expression: Write down the expression to be simplified. $\newline$ $(x^{2}-5x+7)-(3x^{2}-4x+2)$
Distribute Negative Sign: Distribute the negative sign to the terms inside the second parenthesis. $\newline$ $x^{2}-5x+7$ - $1$ $\times$ $3x^{2}$ - $1$ $\times$ (- $4x$ )+ $1$ $\times$ (- $2$ )
Combine Like Terms: Simplify the expression by combining like terms. $x^{2} - 5x + 7 - 3x^{2} + 4x - 2$
Combine $x^2$ Terms: Combine the $x^2$ terms. $\newline$ $x^2 - 3x^2 = -2x^2$
Combine $x$ Terms: Combine the $x$ terms. $-5x + 4x = -x$
Combine Constant Terms: Combine the constant terms. $7 - 2 = 5$
Write Simplified Expression: Write the simplified expression with the combined terms. $-2x^{2} - x + 5$