What is (-1+sqrt(-25x^2-10x+101))^2 ?

The solution to (-1+sqrt(-25x^2-10x+101))^2 is -25x^2-10x-2sqrt(-25x^2-10x+101)+102

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simplify (-1+sqrt(-25x^2-10x+101))^2

simplify

(- 1 + - 25 x^{2} - 10 x + 101)^{2}

- 25 x^{2} - 10 x - 2 - 25 x^{2} - 10 x + 101 + 102

Solution steps

(- 1 + - 25 x^{2} - 10 x + 101)^{2}

Apply Perfect Square Formula:

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

(- 1 + - 25 x^{2} - 10 x + 101)^{2} = (- 1)^{2} + 2 (- 1) - 25 x^{2} - 10 x + 101 + (- 25 x^{2} - 10 x + 101)^{2}

= (- 1)^{2} + 2 (- 1) - 25 x^{2} - 10 x + 101 + (- 25 x^{2} - 10 x + 101)^{2}

Simplify

(- 1)^{2} + 2 (- 1) - 25 x^{2} - 10 x + 101 + (- 25 x^{2} - 10 x + 101)^{2} : - 25 x^{2} - 10 x - 2 - 25 x^{2} - 10 x + 101 + 102

= - 25 x^{2} - 10 x - 2 - 25 x^{2} - 10 x + 101 + 102

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\frac{a \cdot s + ( 0.1 \cdot a + 2 \cdot b )}{( s + 0.1 ) ^{3}}

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What is (-1+sqrt(-25x^2-10x+101))^2 ?
The solution to (-1+sqrt(-25x^2-10x+101))^2 is -25x^2-10x-2sqrt(-25x^2-10x+101)+102