What is expand (x^2-6x+10)^2 ?

The solution to expand (x^2-6x+10)^2 is x^4-12x^3+56x^2-120x+100

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expand (x^2-6x+10)^2

expand

(x^{2} - 6 x + 10)^{2}

x^{4} - 12 x^{3} + 56 x^{2} - 120 x + 100

Solution steps

(x^{2} - 6 x + 10)^{2}

Apply exponent rule:

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

(x^{2} - 6 x + 10)^{2} = (x^{2} - 6 x + 10) (x^{2} - 6 x + 10)

= (x^{2} - 6 x + 10) (x^{2} - 6 x + 10)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 6 x) + x^{2} \cdot 10 - 6 x x^{2} - 6 x (- 6 x) - 6 x \cdot 10 + 10 x^{2} + 10 (- 6 x) + 10 \cdot 10

Simplify

x^{2} x^{2} + x^{2} (- 6 x) + x^{2} \cdot 10 - 6 x x^{2} - 6 x (- 6 x) - 6 x \cdot 10 + 10 x^{2} + 10 (- 6 x) + 10 \cdot 10 : x^{4} - 12 x^{3} + 56 x^{2} - 120 x + 100

= x^{4} - 12 x^{3} + 56 x^{2} - 120 x + 100

25 a^{2} - 49 b^{2}

5^{1 + l o g_{5} (3)}

1.0 5^{7}

10 x + 50

10 x - 30

What is expand (x^2-6x+10)^2 ?
The solution to expand (x^2-6x+10)^2 is x^4-12x^3+56x^2-120x+100