Simplify (a^2+3a-7)-4a(a-1)

$(a^{2} + 3 a - 7) - 4 a (a - 1)$

Simplify each term.

Apply the distributive property.

$a^{2} + 3 a - 7 - 4 a \cdot a - 4 a \cdot - 1$

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$a^{2} + 3 a - 7 - 4 (a \cdot a) - 4 a \cdot - 1$

Multiply $a$ by $a$ .

$a^{2} + 3 a - 7 - 4 a^{2} - 4 a \cdot - 1$

$a^{2} + 3 a - 7 - 4 a^{2} - 4 a \cdot - 1$

Multiply $- 1$ by $- 4$ .

$a^{2} + 3 a - 7 - 4 a^{2} + 4 a$

$a^{2} + 3 a - 7 - 4 a^{2} + 4 a$

Simplify by adding terms.

Subtract $4 a^{2}$ from $a^{2}$ .

$- 3 a^{2} + 3 a - 7 + 4 a$

Add $3 a$ and $4 a$ .

$- 3 a^{2} + 7 a - 7$

$- 3 a^{2} + 7 a - 7$

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