What is expand 2(2y^2+5y^3-4y+3)^2 ?

The solution to expand 2(2y^2+5y^3-4y+3)^2 is 50y^6+40y^5-72y^4+28y^3+56y^2-48y+18

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expand 2(2y^2+5y^3-4y+3)^2

expand

2 (2 y^{2} + 5 y^{3} - 4 y + 3)^{2}

50 y^{6} + 40 y^{5} - 72 y^{4} + 28 y^{3} + 56 y^{2} - 48 y + 18

Solution steps

2 (2 y^{2} + 5 y^{3} - 4 y + 3)^{2}

(2 y^{2} + 5 y^{3} - 4 y + 3)^{2} = 25 y^{6} + 20 y^{5} - 36 y^{4} + 14 y^{3} + 28 y^{2} - 24 y + 9

= 2 (25 y^{6} + 20 y^{5} - 36 y^{4} + 14 y^{3} + 28 y^{2} - 24 y + 9)

Distribute parentheses

= 2 \cdot 25 y^{6} + 2 \cdot 20 y^{5} + 2 (- 36 y^{4}) + 2 \cdot 14 y^{3} + 2 \cdot 28 y^{2} + 2 (- 24 y) + 2 \cdot 9

Apply minus-plus rules

+ (- a) = - a

= 2 \cdot 25 y^{6} + 2 \cdot 20 y^{5} - 2 \cdot 36 y^{4} + 2 \cdot 14 y^{3} + 2 \cdot 28 y^{2} - 2 \cdot 24 y + 2 \cdot 9

Simplify

2 \cdot 25 y^{6} + 2 \cdot 20 y^{5} - 2 \cdot 36 y^{4} + 2 \cdot 14 y^{3} + 2 \cdot 28 y^{2} - 2 \cdot 24 y + 2 \cdot 9 : 50 y^{6} + 40 y^{5} - 72 y^{4} + 28 y^{3} + 56 y^{2} - 48 y + 18

= 50 y^{6} + 40 y^{5} - 72 y^{4} + 28 y^{3} + 56 y^{2} - 48 y + 18

3 (3 + 1)

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

\frac{13}{( 2 x + 3 ) ( x ^{2} + 1 )}

x 1 + x \cdot (1 + 1 + x)

39 \cdot 5

What is expand 2(2y^2+5y^3-4y+3)^2 ?
The solution to expand 2(2y^2+5y^3-4y+3)^2 is 50y^6+40y^5-72y^4+28y^3+56y^2-48y+18