What is expand (x^{26}-x^3)^2 ?

The solution to expand (x^{26}-x^3)^2 is x^{52}-2x^{29}+x^6

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expand (x^{26}-x^3)^2

expand

(x^{26} - x^{3})^{2}

x^{52} - 2 x^{29} + x^{6}

Solution steps

(x^{26} - x^{3})^{2}

Apply Perfect Square Formula:

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

(x^{26} - x^{3})^{2} = (x^{26})^{2} - 2 x^{26} x^{3} + (x^{3})^{2}

= (x^{26})^{2} - 2 x^{26} x^{3} + (x^{3})^{2}

Simplify

(x^{26})^{2} - 2 x^{26} x^{3} + (x^{3})^{2} : x^{52} - 2 x^{29} + x^{6}

= x^{52} - 2 x^{29} + x^{6}

x^{3} - 3 x^{2} + 4 x - 4

4 \times 1 0^{4}

x^{3} - 3 x^{2} + 5 x - 3

6 \times 20

(- 3)^{3}^{2}

What is expand (x^{26}-x^3)^2 ?
The solution to expand (x^{26}-x^3)^2 is x^{52}-2x^{29}+x^6