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

The solution to expand 4(4X^3+2X^2-5X)^2 is 64X^6+64X^5-144X^4-80X^3+100X^2

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

expand

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

64 X^{6} + 64 X^{5} - 144 X^{4} - 80 X^{3} + 100 X^{2}

Solution steps

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

(4 X^{3} + 2 X^{2} - 5 X)^{2} = 16 X^{6} + 16 X^{5} - 36 X^{4} - 20 X^{3} + 25 X^{2}

= 4 (16 X^{6} + 16 X^{5} - 36 X^{4} - 20 X^{3} + 25 X^{2})

Distribute parentheses

= 4 \cdot 16 X^{6} + 4 \cdot 16 X^{5} + 4 (- 36 X^{4}) + 4 (- 20 X^{3}) + 4 \cdot 25 X^{2}

Apply minus-plus rules

+ (- a) = - a

= 4 \cdot 16 X^{6} + 4 \cdot 16 X^{5} - 4 \cdot 36 X^{4} - 4 \cdot 20 X^{3} + 4 \cdot 25 X^{2}

Simplify

4 \cdot 16 X^{6} + 4 \cdot 16 X^{5} - 4 \cdot 36 X^{4} - 4 \cdot 20 X^{3} + 4 \cdot 25 X^{2} : 64 X^{6} + 64 X^{5} - 144 X^{4} - 80 X^{3} + 100 X^{2}

= 64 X^{6} + 64 X^{5} - 144 X^{4} - 80 X^{3} + 100 X^{2}

(1 + y^{2}) (e^{2 x} - e^{y})

\frac{4 - x ^{2}}{2}

x (1 - cos (1) sin (1))

cos (x (1 - a))

\frac{2 ( 12 - Y )}{3}

What is expand 4(4X^3+2X^2-5X)^2 ?
The solution to expand 4(4X^3+2X^2-5X)^2 is 64X^6+64X^5-144X^4-80X^3+100X^2