What is expand 4(x+y)^2 ?

The solution to expand 4(x+y)^2 is 4x^2+8xy+4y^2

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expand 4(x+y)^2

expand

4 (x + y)^{2}

4 x^{2} + 8 x y + 4 y^{2}

Solution steps

4 (x + y)^{2}

Expand

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

= 4 (x^{2} + 2 x y + y^{2})

Apply the distributive law:

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

4 (x^{2} + 2 x y + y^{2}) = 4 x^{2} + 4 \cdot 2 x y + 4 y^{2}

= 4 x^{2} + 4 \cdot 2 x y + 4 y^{2}

Multiply the numbers:

4 \cdot 2 = 8

= 4 x^{2} + 8 x y + 4 y^{2}

(3 x + 4 y)^{2} - (3 x - 4 y)^{2}

7 x + 5 x

(5 x^{2} - 4 x + 7) + (- 4 x^{2} + 3 x - 5)

\frac{9}{10} - \frac{3}{10}

- 35 \div 5