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Popular >

expand 3(x-4)^2

Solution

expand

3 (x - 4)^{2}

Solution

3 x^{2} - 24 x + 48

Solution steps

3 (x - 4)^{2}

Expand

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

= 3 (x^{2} - 8 x + 16)

Apply the distributive law:

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

3 (x^{2} - 8 x + 16) = 3 x^{2} + 3 (- 8 x) + 3 \cdot 16

= 3 x^{2} + 3 (- 8 x) + 3 \cdot 16

Simplify

3 x^{2} + 3 (- 8 x) + 3 \cdot 16 : 3 x^{2} - 24 x + 48

= 3 x^{2} - 24 x + 48

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Frequently Asked Questions (FAQ)

What is expand 3(x-4)^2 ?
The solution to expand 3(x-4)^2 is 3x^2-24x+48