Multiply (9y+7)^2 - Math help

${(9 y + 7)}^{2}$

Rewrite ${(9 y + 7)}^{2}$ as $(9 y + 7) (9 y + 7)$ .

$(9 y + 7) (9 y + 7)$

Expand $(9 y + 7) (9 y + 7)$ using the FOIL Method.

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Apply the distributive property.

$9 y (9 y + 7) + 7 (9 y + 7)$

Apply the distributive property.

$9 y (9 y) + 9 y \cdot 7 + 7 (9 y + 7)$

Apply the distributive property.

$9 y (9 y) + 9 y \cdot 7 + 7 (9 y) + 7 \cdot 7$

Simplify and combine like terms.

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Simplify each term.

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Multiply $y$ by $y$ .

$9 \cdot 9 y^{2} + 9 y \cdot 7 + 7 (9 y) + 7 \cdot 7$

Multiply $9$ by $9$ .

$81 y^{2} + 9 y \cdot 7 + 7 (9 y) + 7 \cdot 7$

Multiply $7$ by $9$ .

$81 y^{2} + 63 y + 7 (9 y) + 7 \cdot 7$

Multiply $9$ by $7$ .

$81 y^{2} + 63 y + 63 y + 7 \cdot 7$

Multiply $7$ by $7$ .

$81 y^{2} + 63 y + 63 y + 49$

Add $63 y$ and $63 y$ .

$81 y^{2} + 126 y + 49$

Multiply (9y+7)^2

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