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Popular >

expand 4(x-4)^2

Solution

expand

4 (x - 4)^{2}

Solution

4 x^{2} - 32 x + 64

Solution steps

4 (x - 4)^{2}

Expand

(x - 4)^{2} : x^{2} - 8 x + 16

= 4 (x^{2} - 8 x + 16)

Apply the distributive law:

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

4 (x^{2} - 8 x + 16) = 4 x^{2} + 4 (- 8 x) + 4 \cdot 16

= 4 x^{2} + 4 (- 8 x) + 4 \cdot 16

Simplify

4 x^{2} + 4 (- 8 x) + 4 \cdot 16 : 4 x^{2} - 32 x + 64

= 4 x^{2} - 32 x + 64

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Frequently Asked Questions (FAQ)

What is expand 4(x-4)^2 ?
The solution to expand 4(x-4)^2 is 4x^2-32x+64