Simplify (8m+7)^2

${(8 m + 7)}^{2}$

Step 1

Rewrite ${(8 m + 7)}^{2}$ as $(8 m + 7) (8 m + 7)$ .

$(8 m + 7) (8 m + 7)$

Step 2

Expand $(8 m + 7) (8 m + 7)$ using the FOIL Method.

Apply the distributive property.

$8 m (8 m + 7) + 7 (8 m + 7)$

Apply the distributive property.

$8 m (8 m) + 8 m \cdot 7 + 7 (8 m + 7)$

Apply the distributive property.

$8 m (8 m) + 8 m \cdot 7 + 7 (8 m) + 7 \cdot 7$

Step 3

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$8 \cdot 8 m \cdot m + 8 m \cdot 7 + 7 (8 m) + 7 \cdot 7$

Multiply $m$ by $m$ by adding the exponents.

Move $m$ .

$8 \cdot 8 (m \cdot m) + 8 m \cdot 7 + 7 (8 m) + 7 \cdot 7$

Multiply $m$ by $m$ .

$8 \cdot 8 m^{2} + 8 m \cdot 7 + 7 (8 m) + 7 \cdot 7$

Multiply $8$ by $8$ .

$64 m^{2} + 8 m \cdot 7 + 7 (8 m) + 7 \cdot 7$

Multiply $7$ by $8$ .

$64 m^{2} + 56 m + 7 (8 m) + 7 \cdot 7$

Multiply $8$ by $7$ .

$64 m^{2} + 56 m + 56 m + 7 \cdot 7$

Multiply $7$ by $7$ .

$64 m^{2} + 56 m + 56 m + 49$

Add $56 m$ and $56 m$ .

$64 m^{2} + 112 m + 49$