Simplify 7(6x^2+9xy+10y^2)

$7 (6 x^{2} + 9 x y + 10 y^{2})$

Apply the distributive property.

$7 (6 x^{2}) + 7 (9 x y) + 7 (10 y^{2})$

Simplify.

Multiply $6$ by $7$ .

$42 x^{2} + 7 (9 x y) + 7 (10 y^{2})$

Multiply $9$ by $7$ .

$42 x^{2} + 63 (x y) + 7 (10 y^{2})$

Multiply $10$ by $7$ .

$42 x^{2} + 63 (x y) + 70 y^{2}$

$42 x^{2} + 63 x y + 70 y^{2}$

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