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}

- 2 - 32

(5 - 6 i) (5 + 6 i)

(6 + 5 i) (4 - 4 i)

32 \cdot \frac{1}{4}

(- 43) + (- 21)