Algebra Examples

$f (x) = 5 x^{2} - 7 (4 x + 3)$

Step 1

Write $f (x) = 5 x^{2} - 7 (4 x + 3)$ as an equation.

$y = 5 x^{2} - 7 (4 x + 3)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$y = 5 x^{2} - 7 (4 x) - 7 \cdot 3$

Step 2.2

Multiply $4$ by $- 7$ .

$y = 5 x^{2} - 28 x - 7 \cdot 3$

Step 2.3

Multiply $- 7$ by $3$ .

$y = 5 x^{2} - 28 x - 21$