What is expand (4y^3-0.5y^2)^2 ?

The solution to expand (4y^3-0.5y^2)^2 is 16y^6-4y^5+0.25y^4

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expand (4y^3-0.5y^2)^2

expand

(4 y^{3} - 0.5 y^{2})^{2}

16 y^{6} - 4 y^{5} + 0.25 y^{4}

Solution steps

(4 y^{3} - 0.5 y^{2})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(4 y^{3} - 0.5 y^{2})^{2} = (4 y^{3})^{2} - 2 \cdot 4 y^{3} \cdot 0.5 y^{2} + (0.5 y^{2})^{2}

= (4 y^{3})^{2} - 2 \cdot 4 y^{3} \cdot 0.5 y^{2} + (0.5 y^{2})^{2}

Simplify

(4 y^{3})^{2} - 2 \cdot 4 y^{3} \cdot 0.5 y^{2} + (0.5 y^{2})^{2} : 16 y^{6} - 4 y^{5} + 0.25 y^{4}

= 16 y^{6} - 4 y^{5} + 0.25 y^{4}

0.25 (\frac{8}{9} + \frac{1}{2})

(x^{2} + 3) (4 x + 2)

(3 a) (b + c - 2 d)

(- 4 c + a - 2 b) - (4 a - 7 b - 6 c)

(5 p - 3 q) (p^{2} - pq + q^{2})

What is expand (4y^3-0.5y^2)^2 ?
The solution to expand (4y^3-0.5y^2)^2 is 16y^6-4y^5+0.25y^4