Question

1. simplify the expression by subtracting $4x^{2}-3x + 2$ from $7x^{2}-4x + 6$.

a. $11x^{2}-x + 4$
b. $3x^{2}-x + 4$
c. $3x^{2}-x + 8$
d. $3x^{2}-7x + 8$

Explanation:

Step1: Set up subtraction expression

$(7x^2 - 4x + 6) - (4x^2 - 3x + 2)$

Step2: Distribute the negative sign

$7x^2 - 4x + 6 - 4x^2 + 3x - 2$

Step3: Combine like terms for $x^2$

$7x^2 - 4x^2 = 3x^2$

Step4: Combine like terms for $x$

$-4x + 3x = -x$

Step5: Combine constant terms

$6 - 2 = 4$

Step6: Assemble simplified expression

$3x^2 - x + 4$

Answer:

b. $3x^2 - x + 4$