Simplify 6y+2-(4-2y) squared

asked by guest
on Feb 02, 2025 at 3:41 am



You asked:

Simplify the expression: 6y+2−(4−2y)26 y + 2 - {\left( 4 - 2 y \right)}^{2}

MathBot Answer:

Simplified:

6y+2−(4−2y)2=6y−(4−2y)2+2 6 y + 2 - {\left( 4 - 2 y \right)}^{2} = 6 y - \left(4 - 2 y\right)^{2} + 2

−(4−2y)2+6y+2=−(−2y+4)2+6y+2=−4y2+16y−16+6y+2=−4y2+22y−14\begin{aligned}- \left(4 - 2 y\right)^{2} + 6 y + 2&=- \left(- 2 y + 4\right)^{2} + 6 y + 2\\&=- 4 y^{2} + 16 y - 16 + 6 y + 2\\&=- 4 y^{2} + 22 y - 14\end{aligned}

Expanded:

6y+2−(4−2y)2=−4y2+22y−14 6 y + 2 - {\left( 4 - 2 y \right)}^{2} = - 4 y^{2} + 22 y - 14

Factored:

6y+2−(4−2y)2=−2(y−114−654)(y−114+654) 6 y + 2 - {\left( 4 - 2 y \right)}^{2} = - 2 \left(y - \frac{11}{4} - \frac{\sqrt{65}}{4}\right) \left(y - \frac{11}{4} + \frac{\sqrt{65}}{4}\right)


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