What is expand (x^2-10x+26)^2 ?

The solution to expand (x^2-10x+26)^2 is x^4-20x^3+152x^2-520x+676

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expand (x^2-10x+26)^2

expand

(x^{2} - 10 x + 26)^{2}

x^{4} - 20 x^{3} + 152 x^{2} - 520 x + 676

Solution steps

(x^{2} - 10 x + 26)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x^{2} - 10 x + 26)^{2} = (x^{2} - 10 x + 26) (x^{2} - 10 x + 26)

= (x^{2} - 10 x + 26) (x^{2} - 10 x + 26)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 10 x) + x^{2} \cdot 26 - 10 x x^{2} - 10 x (- 10 x) - 10 x \cdot 26 + 26 x^{2} + 26 (- 10 x) + 26 \cdot 26

Simplify

x^{2} x^{2} + x^{2} (- 10 x) + x^{2} \cdot 26 - 10 x x^{2} - 10 x (- 10 x) - 10 x \cdot 26 + 26 x^{2} + 26 (- 10 x) + 26 \cdot 26 : x^{4} - 20 x^{3} + 152 x^{2} - 520 x + 676

= x^{4} - 20 x^{3} + 152 x^{2} - 520 x + 676

\frac{360}{11}

\frac{13}{78}

23 \times 32

12 x^{2} - 48 x + 48

\frac{6}{5} \div \frac{7}{6}

What is expand (x^2-10x+26)^2 ?
The solution to expand (x^2-10x+26)^2 is x^4-20x^3+152x^2-520x+676