Simplify Subtract -3x-8 from 4x^2-7x-2

Subtract $- 3 x - 8$ from $4 x^{2} - 7 x - 2$

Write the problem as a mathematical expression.

$4 x^{2} - 7 x - 2 - (- 3 x - 8)$

Simplify each term.

Apply the distributive property.

$4 x^{2} - 7 x - 2 - (- 3 x) - - 8$

Multiply $- 3$ by $- 1$ .

$4 x^{2} - 7 x - 2 + 3 x - - 8$

Multiply $- 1$ by $- 8$ .

$4 x^{2} - 7 x - 2 + 3 x + 8$

$4 x^{2} - 7 x - 2 + 3 x + 8$

Simplify by adding terms.

Add $- 7 x$ and $3 x$ .

$4 x^{2} - 4 x - 2 + 8$

Add $- 2$ and $8$ .

$4 x^{2} - 4 x + 6$

$4 x^{2} - 4 x + 6$

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