What is expand 3(x+y)^2 ?

The solution to expand 3(x+y)^2 is 3x^2+6xy+3y^2

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expand 3(x+y)^2

expand

3 (x + y)^{2}

3 x^{2} + 6 x y + 3 y^{2}

Solution steps

3 (x + y)^{2}

Expand

(x + y)^{2} : x^{2} + 2 x y + y^{2}

= 3 (x^{2} + 2 x y + y^{2})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

3 (x^{2} + 2 x y + y^{2}) = 3 x^{2} + 3 \cdot 2 x y + 3 y^{2}

= 3 x^{2} + 3 \cdot 2 x y + 3 y^{2}

Multiply the numbers:

3 \cdot 2 = 6

= 3 x^{2} + 6 x y + 3 y^{2}

1 \frac{1}{2} \div 2

4 e^{1}

- 25 + - 75 + 36 - - 48

\frac{( x ^{2} + 9 x + 20 )}{( x + 5 )}

5 ln ((e^{\frac{7 x}{5}})^{5})