Algebra Examples

{(3 x - 4)}^{2}

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

Step 1

Rewrite

${(3 x - 4)}^{2}$ as

$(3 x - 4) (3 x - 4)$ .

$(3 x - 4) (3 x - 4)$

Step 2

Expand

$(3 x - 4) (3 x - 4)$ using the FOIL Method.

Tap for more steps...

Step 2.1

Apply the distributive property.

$3 x (3 x - 4) - 4 (3 x - 4)$

Step 2.2

Apply the distributive property.

$3 x (3 x) + 3 x \cdot - 4 - 4 (3 x - 4)$

Step 2.3

Apply the distributive property.

$3 x (3 x) + 3 x \cdot - 4 - 4 (3 x) - 4 \cdot - 4$

Step 3

Simplify and combine like terms.

Tap for more steps...

Step 3.1

Simplify each term.

Tap for more steps...

Step 3.1.1

Rewrite using the commutative property of multiplication.

$3 \cdot 3 x \cdot x + 3 x \cdot - 4 - 4 (3 x) - 4 \cdot - 4$

Step 3.1.2

Multiply

$x$ by

$x$ by adding the exponents.

Tap for more steps...

Step 3.1.2.1

Move

$x$ .

$3 \cdot 3 (x \cdot x) + 3 x \cdot - 4 - 4 (3 x) - 4 \cdot - 4$

Step 3.1.2.2

Multiply

$x$ by

$x$ .

$3 \cdot 3 x^{2} + 3 x \cdot - 4 - 4 (3 x) - 4 \cdot - 4$

Step 3.1.3

Multiply

$3$ by

$3$ .

$9 x^{2} + 3 x \cdot - 4 - 4 (3 x) - 4 \cdot - 4$

Step 3.1.4

Multiply

$- 4$ by

$3$ .

$9 x^{2} - 12 x - 4 (3 x) - 4 \cdot - 4$

Step 3.1.5

Multiply

$3$ by

$- 4$ .

$9 x^{2} - 12 x - 12 x - 4 \cdot - 4$

Step 3.1.6

Multiply

$- 4$ by

$- 4$ .

$9 x^{2} - 12 x - 12 x + 16$

Step 3.2

Subtract

$12 x$ from

$- 12 x$ .

$9 x^{2} - 24 x + 16$

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

(

)

[

]

√



≥

















≤















∩

∪







∞











