What is expand 16(x-1)^2+16(-1/4 x+1/4)^2 ?

The solution to expand 16(x-1)^2+16(-1/4 x+1/4)^2 is 17x^2-34x+17

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expand 16(x-1)^2+16(-1/4 x+1/4)^2

expand

16 (x - 1)^{2} + 16 (- \frac{1}{4} x + \frac{1}{4})^{2}

17 x^{2} - 34 x + 17

Solution steps

16 (x - 1)^{2} + 16 (- \frac{1}{4} x + \frac{1}{4})^{2}

Expand

16 (x - 1)^{2} : 16 x^{2} - 32 x + 16

= 16 x^{2} - 32 x + 16 + 16 (- \frac{1}{4} x + \frac{1}{4})^{2}

Expand

16 (- \frac{1}{4} x + \frac{1}{4})^{2} : 16 \cdot \frac{x ^{2} + 1 - 2 x}{16}

= 16 x^{2} - 32 x + 16 + 16 \cdot \frac{x ^{2} + 1 - 2 x}{16}

Simplify

16 x^{2} - 32 x + 16 + 16 \cdot \frac{x ^{2} + 1 - 2 x}{16} : 17 x^{2} - 34 x + 17

= 17 x^{2} - 34 x + 17

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What is expand 16(x-1)^2+16(-1/4 x+1/4)^2 ?
The solution to expand 16(x-1)^2+16(-1/4 x+1/4)^2 is 17x^2-34x+17