What is (2x+5)^2+(x-3)^3 ?

The solution to (2x+5)^2+(x-3)^3 is x^3-5x^2+47x-2

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simplify (2x+5)^2+(x-3)^3

simplify

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

x^{3} - 5 x^{2} + 47 x - 2

Solution steps

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

Expand

(2 x + 5)^{2} : 4 x^{2} + 20 x + 25

= 4 x^{2} + 20 x + 25 + (x - 3)^{3}

Expand

(x - 3)^{3} : x^{3} - 9 x^{2} + 27 x - 27

= 4 x^{2} + 20 x + 25 + x^{3} - 9 x^{2} + 27 x - 27

Group like terms

= x^{3} + 4 x^{2} - 9 x^{2} + 20 x + 27 x + 25 - 27

Add similar elements:

4 x^{2} - 9 x^{2} = - 5 x^{2}

= x^{3} - 5 x^{2} + 20 x + 27 x + 25 - 27

Add similar elements:

20 x + 27 x = 47 x

= x^{3} - 5 x^{2} + 47 x + 25 - 27

Subtract the numbers:

25 - 27 = - 2

= x^{3} - 5 x^{2} + 47 x - 2

(a^{5})^{- 2}

(a + 4 b)^{3}

4.123 a (- 2 a - 2 a) + 20 b

f (x) x - 1

\frac{s}{2 + 3}