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Popular >

expand 7(x-4)^2

Solution

expand

7 (x - 4)^{2}

Solution

7 x^{2} - 56 x + 112

Solution steps

7 (x - 4)^{2}

Expand

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

= 7 (x^{2} - 8 x + 16)

Apply the distributive law:

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

7 (x^{2} - 8 x + 16) = 7 x^{2} + 7 (- 8 x) + 7 \cdot 16

= 7 x^{2} + 7 (- 8 x) + 7 \cdot 16

Simplify

7 x^{2} + 7 (- 8 x) + 7 \cdot 16 : 7 x^{2} - 56 x + 112

= 7 x^{2} - 56 x + 112

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Frequently Asked Questions (FAQ)

What is expand 7(x-4)^2 ?
The solution to expand 7(x-4)^2 is 7x^2-56x+112