What is (5x)2(5x+2)-(3x^2+x-2)+(7x^3-4x-5) ?

The solution to (5x)2(5x+2)-(3x^2+x-2)+(7x^3-4x-5) is 7x^3+47x^2+15x-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5x)2(5x+2)-(3x^2+x-2)+(7x^3-4x-5)

simplify

(5 x) 2 (5 x + 2) - (3 x^{2} + x - 2) + (7 x^{3} - 4 x - 5)

7 x^{3} + 47 x^{2} + 15 x - 3

Solution steps

(5 x) \cdot 2 (5 x + 2) - (3 x^{2} + x - 2) + (7 x^{3} - 4 x - 5)

Apply rule:

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

- (3 x^{2} + x - 2) + (7 x^{3} - 4 x - 5) = - (3 x^{2} + x - 2) + 7 x^{3} - 4 x - 5

= 5 x \cdot 2 (5 x + 2) - (3 x^{2} + x - 2) + 7 x^{3} - 4 x - 5

5 x \cdot 2 (5 x + 2) = 10 x (5 x + 2)

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

= 10 x (5 x + 2) - 3 x^{2} - x + 2 + 7 x^{3} - 4 x - 5

Expand

10 x (5 x + 2) : 50 x^{2} + 20 x

= 50 x^{2} + 20 x - 3 x^{2} - x + 2 + 7 x^{3} - 4 x - 5

Group like terms

= 7 x^{3} + 50 x^{2} - 3 x^{2} + 20 x - x - 4 x + 2 - 5

Add similar elements:

50 x^{2} - 3 x^{2} = 47 x^{2}

= 7 x^{3} + 47 x^{2} + 20 x - x - 4 x + 2 - 5

Add similar elements:

20 x - x - 4 x = 15 x

= 7 x^{3} + 47 x^{2} + 15 x + 2 - 5

Subtract the numbers:

2 - 5 = - 3

= 7 x^{3} + 47 x^{2} + 15 x - 3

(r - \frac{r}{2} + \frac{( 2 r )}{2})^{2}

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

\frac{( x + x - 14 x + 6 )}{( x ^{0.3} )}

(1 - a^{m - n})^{- 1} + (1 - a^{n - m})

(3 w + 5)^{3}

What is (5x)2(5x+2)-(3x^2+x-2)+(7x^3-4x-5) ?
The solution to (5x)2(5x+2)-(3x^2+x-2)+(7x^3-4x-5) is 7x^3+47x^2+15x-3