What is expand 2(a+h)^2 ?

The solution to expand 2(a+h)^2 is 2a^2+4ah+2h^2

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expand 2(a+h)^2

expand

2 (a + h)^{2}

2 a^{2} + 4 ah + 2 h^{2}

Solution steps

2 (a + h)^{2}

Expand

(a + h)^{2} : a^{2} + 2 ah + h^{2}

= 2 (a^{2} + 2 ah + h^{2})

Apply the distributive law:

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

2 (a^{2} + 2 ah + h^{2}) = 2 a^{2} + 2 \cdot 2 ah + 2 h^{2}

= 2 a^{2} + 2 \cdot 2 ah + 2 h^{2}

Multiply the numbers:

2 \cdot 2 = 4

= 2 a^{2} + 4 ah + 2 h^{2}

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