What is expand (y^2-6y+10)^2 ?

The solution to expand (y^2-6y+10)^2 is y^4-12y^3+56y^2-120y+100

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (y^2-6y+10)^2

expand

(y^{2} - 6 y + 10)^{2}

y^{4} - 12 y^{3} + 56 y^{2} - 120 y + 100

Solution steps

(y^{2} - 6 y + 10)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(y^{2} - 6 y + 10)^{2} = (y^{2} - 6 y + 10) (y^{2} - 6 y + 10)

= (y^{2} - 6 y + 10) (y^{2} - 6 y + 10)

Distribute parentheses

= y^{2} y^{2} + y^{2} (- 6 y) + y^{2} \cdot 10 - 6 y y^{2} - 6 y (- 6 y) - 6 y \cdot 10 + 10 y^{2} + 10 (- 6 y) + 10 \cdot 10

Simplify

y^{2} y^{2} + y^{2} (- 6 y) + y^{2} \cdot 10 - 6 y y^{2} - 6 y (- 6 y) - 6 y \cdot 10 + 10 y^{2} + 10 (- 6 y) + 10 \cdot 10 : y^{4} - 12 y^{3} + 56 y^{2} - 120 y + 100

= y^{4} - 12 y^{3} + 56 y^{2} - 120 y + 100

(1 - sin^{2} (x)) (1 + tan^{2} (x))

x y + x

\frac{9}{2} - \frac{3}{2}

2.5 \cdot 1 0^{4}

(3 x - 2 y)^{5}

What is expand (y^2-6y+10)^2 ?
The solution to expand (y^2-6y+10)^2 is y^4-12y^3+56y^2-120y+100