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

The solution to expand 4(x+h)^2 is 4x^2+8xh+4h^2

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expand 4(x+h)^2

expand

4 (x + h)^{2}

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

Solution steps

4 (x + h)^{2}

Expand

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

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

Apply the distributive law:

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

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

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

Multiply the numbers:

4 \cdot 2 = 8

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

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