What is (y+2)^2-5(y-2)^2 ?

The solution to (y+2)^2-5(y-2)^2 is -4y^2+24y-16

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simplify (y+2)^2-5(y-2)^2

simplify

(y + 2)^{2} - 5 (y - 2)^{2}

- 4 y^{2} + 24 y - 16

Solution steps

(y + 2)^{2} - 5 (y - 2)^{2}

Expand

(y + 2)^{2} : y^{2} + 4 y + 4

= y^{2} + 4 y + 4 - 5 (y - 2)^{2}

Expand

- 5 (y - 2)^{2} : - 5 y^{2} + 20 y - 20

= y^{2} + 4 y + 4 - 5 y^{2} + 20 y - 20

Group like terms

= y^{2} - 5 y^{2} + 4 y + 20 y + 4 - 20

Add similar elements:

y^{2} - 5 y^{2} = - 4 y^{2}

= - 4 y^{2} + 4 y + 20 y + 4 - 20

Add similar elements:

4 y + 20 y = 24 y

= - 4 y^{2} + 24 y + 4 - 20

Subtract the numbers:

4 - 20 = - 16

= - 4 y^{2} + 24 y - 16

(lo g_{2} (3))^{2}

\frac{3}{7} \times \frac{2}{5}

10 c + 6 (- 4 c + 7)

12 x + 12 x

(- 12 + i) (- 12 - i)