What is expand (5a^2-a+2)^2 ?

The solution to expand (5a^2-a+2)^2 is 25a^4-10a^3+21a^2-4a+4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (5a^2-a+2)^2

expand

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

25 a^{4} - 10 a^{3} + 21 a^{2} - 4 a + 4

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

= 5 a^{2} \cdot 5 a^{2} + 5 a^{2} (- a) + 5 a^{2} \cdot 2 - a \cdot 5 a^{2} - a (- a) - a \cdot 2 + 2 \cdot 5 a^{2} + 2 (- a) + 2 \cdot 2

Simplify

5 a^{2} \cdot 5 a^{2} + 5 a^{2} (- a) + 5 a^{2} \cdot 2 - a \cdot 5 a^{2} - a (- a) - a \cdot 2 + 2 \cdot 5 a^{2} + 2 (- a) + 2 \cdot 2 : 25 a^{4} - 10 a^{3} + 21 a^{2} - 4 a + 4

= 25 a^{4} - 10 a^{3} + 21 a^{2} - 4 a + 4

x^{4} y^{0} z^{- 1}

2 (2 x + y) (3 z - x)

\frac{3 + 4}{2}

- 5 (3 x - 7)

(\frac{2}{7})^{4}

What is expand (5a^2-a+2)^2 ?
The solution to expand (5a^2-a+2)^2 is 25a^4-10a^3+21a^2-4a+4