Basic Math Examples

${(5 c - 4)}^{2}$

Step 1

Rewrite

${(5 c - 4)}^{2}$ as

$(5 c - 4) (5 c - 4)$ .

$(5 c - 4) (5 c - 4)$

Step 2

Expand

$(5 c - 4) (5 c - 4)$ using the FOIL Method.

Tap for more steps...

Step 2.1

Apply the distributive property.

$5 c (5 c - 4) - 4 (5 c - 4)$

Step 2.2

Apply the distributive property.

$5 c (5 c) + 5 c \cdot - 4 - 4 (5 c - 4)$

Step 2.3

Apply the distributive property.

$5 c (5 c) + 5 c \cdot - 4 - 4 (5 c) - 4 \cdot - 4$

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.

$5 \cdot 5 c \cdot c + 5 c \cdot - 4 - 4 (5 c) - 4 \cdot - 4$

Step 3.1.2

Multiply

$c$ by

$c$ by adding the exponents.

Tap for more steps...

Step 3.1.2.1

Move

$c$ .

$5 \cdot 5 (c \cdot c) + 5 c \cdot - 4 - 4 (5 c) - 4 \cdot - 4$

Step 3.1.2.2

Multiply

$c$ by

$c$ .

$5 \cdot 5 c^{2} + 5 c \cdot - 4 - 4 (5 c) - 4 \cdot - 4$

Step 3.1.3

Multiply

$5$ by

$5$ .

$25 c^{2} + 5 c \cdot - 4 - 4 (5 c) - 4 \cdot - 4$

Step 3.1.4

Multiply

$- 4$ by

$5$ .

$25 c^{2} - 20 c - 4 (5 c) - 4 \cdot - 4$

Step 3.1.5

Multiply

$5$ by

$- 4$ .

$25 c^{2} - 20 c - 20 c - 4 \cdot - 4$

Step 3.1.6

Multiply

$- 4$ by

$- 4$ .

$25 c^{2} - 20 c - 20 c + 16$

Step 3.2

Subtract

$20 c$ from

$- 20 c$ .

$25 c^{2} - 40 c + 16$