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Popular >

expand 4(x-5)^2

Solution

expand

4 (x - 5)^{2}

Solution

4 x^{2} - 40 x + 100

Solution steps

4 (x - 5)^{2}

Expand

(x - 5)^{2} : x^{2} - 10 x + 25

= 4 (x^{2} - 10 x + 25)

Apply the distributive law:

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

4 (x^{2} - 10 x + 25) = 4 x^{2} + 4 (- 10 x) + 4 \cdot 25

= 4 x^{2} + 4 (- 10 x) + 4 \cdot 25

Simplify

4 x^{2} + 4 (- 10 x) + 4 \cdot 25 : 4 x^{2} - 40 x + 100

= 4 x^{2} - 40 x + 100

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Frequently Asked Questions (FAQ)

What is expand 4(x-5)^2 ?
The solution to expand 4(x-5)^2 is 4x^2-40x+100