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Popular >

expand a(x-h)^2+k

Solution

expand

a (x - h)^{2} + k

Solution

a x^{2} - 2 ah x + a h^{2} + k

Solution steps

a (x - h)^{2} + k

Expand

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

= a (x^{2} - 2 h x + h^{2}) + k

Apply the distributive law:

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

a (x^{2} - 2 h x + h^{2}) = a x^{2} + a (- 2 h x) + a h^{2}

= a x^{2} + a (- 2 h x) + a h^{2} + k

Simplify

a (- 2 h x) : - 2 ah x

= a x^{2} - 2 ah x + a h^{2} + k

Popular Examples

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- 3 \times 4

\frac{7}{9}

Frequently Asked Questions (FAQ)

What is expand a(x-h)^2+k ?
The solution to expand a(x-h)^2+k is ax^2-2ahx+ah^2+k