Question

1. simplify the expression by subtracting (4x^2 - 3x + 2) from (7x^2 - 4x + 6).

a. (3x^2 - 7x + 8)
b. (3x^2 - x + 4)
c. (11x^2 - x + 4)
d. (3x^2 - x + 8)

Explanation:

Step1: Write 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: Combine all results

$3x^2 - x + 4$

Answer:

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