Simplify (7x+6y)^2

${(7 x + 6 y)}^{2}$

Step 1

Rewrite ${(7 x + 6 y)}^{2}$ as $(7 x + 6 y) (7 x + 6 y)$ .

$(7 x + 6 y) (7 x + 6 y)$

Step 2

Expand $(7 x + 6 y) (7 x + 6 y)$ using the FOIL Method.

Apply the distributive property.

$7 x (7 x + 6 y) + 6 y (7 x + 6 y)$

Apply the distributive property.

$7 x (7 x) + 7 x (6 y) + 6 y (7 x + 6 y)$

Apply the distributive property.

$7 x (7 x) + 7 x (6 y) + 6 y (7 x) + 6 y (6 y)$

Step 3

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$7 \cdot 7 x \cdot x + 7 x (6 y) + 6 y (7 x) + 6 y (6 y)$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$7 \cdot 7 (x \cdot x) + 7 x (6 y) + 6 y (7 x) + 6 y (6 y)$

Multiply $x$ by $x$ .

$7 \cdot 7 x^{2} + 7 x (6 y) + 6 y (7 x) + 6 y (6 y)$

Multiply $7$ by $7$ .

$49 x^{2} + 7 x (6 y) + 6 y (7 x) + 6 y (6 y)$

Rewrite using the commutative property of multiplication.

$49 x^{2} + 7 \cdot 6 x y + 6 y (7 x) + 6 y (6 y)$

Multiply $7$ by $6$ .

$49 x^{2} + 42 x y + 6 y (7 x) + 6 y (6 y)$

Rewrite using the commutative property of multiplication.

$49 x^{2} + 42 x y + 6 \cdot 7 y x + 6 y (6 y)$

Multiply $6$ by $7$ .

$49 x^{2} + 42 x y + 42 y x + 6 y (6 y)$

Rewrite using the commutative property of multiplication.

$49 x^{2} + 42 x y + 42 y x + 6 \cdot 6 y \cdot y$

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$49 x^{2} + 42 x y + 42 y x + 6 \cdot 6 (y \cdot y)$

Multiply $y$ by $y$ .

$49 x^{2} + 42 x y + 42 y x + 6 \cdot 6 y^{2}$

Multiply $6$ by $6$ .

$49 x^{2} + 42 x y + 42 y x + 36 y^{2}$

Add $42 x y$ and $42 y x$ .

Move $y$ .

$49 x^{2} + 42 x y + 42 x y + 36 y^{2}$

Add $42 x y$ and $42 x y$ .

$49 x^{2} + 84 x y + 36 y^{2}$

Simplify (7x+6y)^2

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