What is (x-1)^2+(x-3) ?

The solution to (x-1)^2+(x-3) is x^2-x-2

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simplify (x-1)^2+(x-3)

simplify

(x - 1)^{2} + (x - 3)

x^{2} - x - 2

Solution steps

(x - 1)^{2} + (x - 3)

Apply rule:

a + (b + c) = a + b + c

(x - 1)^{2} + (x - 3) = (x - 1)^{2} + x - 3

= (x - 1)^{2} + x - 3

Expand

(x - 1)^{2} : x^{2} - 2 x + 1

= x^{2} - 2 x + 1 + x - 3

Group like terms

= x^{2} - 2 x + x + 1 - 3

Add similar elements:

- 2 x + x = - x

= x^{2} - x + 1 - 3

Subtract the numbers:

1 - 3 = - 2

= x^{2} - x - 2

(a - b) (a - b) (a - b)

(4 a^{- 2} b^{3})^{- 3}

(2 x + 3 y) (2 x + 3 y)

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

(\frac{2 ^{2}}{x})^{- 1}