What is (x+2)(x-1)(x-3)(x-6)+7x^2-28x+1 ?

The solution to (x+2)(x-1)(x-3)(x-6)+7x^2-28x+1 is x^4-8x^3+14x^2+8x-35

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x+2)(x-1)(x-3)(x-6)+7x^2-28x+1

simplify

(x + 2) (x - 1) (x - 3) (x - 6) + 7 x^{2} - 28 x + 1

x^{4} - 8 x^{3} + 14 x^{2} + 8 x - 35

Solution steps

(x + 2) (x - 1) (x - 3) (x - 6) + 7 x^{2} - 28 x + 1

Expand

(x + 2) (x - 1) (x - 3) (x - 6) : x^{4} - 8 x^{3} + 7 x^{2} + 36 x - 36

= x^{4} - 8 x^{3} + 7 x^{2} + 36 x - 36 + 7 x^{2} - 28 x + 1

Group like terms

= x^{4} - 8 x^{3} + 7 x^{2} + 7 x^{2} + 36 x - 28 x - 36 + 1

Add similar elements:

7 x^{2} + 7 x^{2} = 14 x^{2}

= x^{4} - 8 x^{3} + 14 x^{2} + 36 x - 28 x - 36 + 1

Add similar elements:

36 x - 28 x = 8 x

= x^{4} - 8 x^{3} + 14 x^{2} + 8 x - 36 + 1

Add the numbers:

- 36 + 1 = - 35

= x^{4} - 8 x^{3} + 14 x^{2} + 8 x - 35

lo g_{8} (256)

(y^{3} - 4 x)^{3}

(1 + 2 i) (- 8 - i)

\frac{tan ( x ) - cot ( x )}{tan ( x ) + cot ( x )} + cos^{2} (x)

- 2 \cdot (- 4)

What is (x+2)(x-1)(x-3)(x-6)+7x^2-28x+1 ?
The solution to (x+2)(x-1)(x-3)(x-6)+7x^2-28x+1 is x^4-8x^3+14x^2+8x-35