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Popular >

expand a(x-100)^2

Solution

expand

a (x - 100)^{2}

Solution

a x^{2} - 200 a x + 10000 a

Solution steps

a (x - 100)^{2}

Expand

(x - 100)^{2} : x^{2} - 200 x + 10000

= a (x^{2} - 200 x + 10000)

Apply the distributive law:

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

a (x^{2} - 200 x + 10000) = a x^{2} + a (- 200 x) + a \cdot 10000

= a x^{2} + a (- 200 x) + a \cdot 10000

Simplify

a x^{2} + a (- 200 x) + a \cdot 10000 : a x^{2} - 200 a x + 10000 a

= a x^{2} - 200 a x + 10000 a

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Frequently Asked Questions (FAQ)

What is expand a(x-100)^2 ?
The solution to expand a(x-100)^2 is ax^2-200ax+10000a