What is expand (4x^5-3x^8)^2 ?

The solution to expand (4x^5-3x^8)^2 is 16x^{10}-24x^{13}+9x^{16}

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expand (4x^5-3x^8)^2

expand

(4 x^{5} - 3 x^{8})^{2}

16 x^{10} - 24 x^{13} + 9 x^{16}

Solution steps

(4 x^{5} - 3 x^{8})^{2}

Apply Perfect Square Formula:

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

(4 x^{5} - 3 x^{8})^{2} = (4 x^{5})^{2} - 2 \cdot 4 x^{5} \cdot 3 x^{8} + (3 x^{8})^{2}

= (4 x^{5})^{2} - 2 \cdot 4 x^{5} \cdot 3 x^{8} + (3 x^{8})^{2}

Simplify

(4 x^{5})^{2} - 2 \cdot 4 x^{5} \cdot 3 x^{8} + (3 x^{8})^{2} : 16 x^{10} - 24 x^{13} + 9 x^{16}

= 16 x^{10} - 24 x^{13} + 9 x^{16}

2 \frac{3}{4} - \frac{5}{4}

\frac{4 i}{i - 1}

8128

- 7 (- 9)

6 x^{3} + 3 x^{2} - 12 x

What is expand (4x^5-3x^8)^2 ?
The solution to expand (4x^5-3x^8)^2 is 16x^{10}-24x^{13}+9x^{16}