What is expand (4a^2-a+3)^2 ?

The solution to expand (4a^2-a+3)^2 is 16a^4-8a^3+25a^2-6a+9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4a^2-a+3)^2

expand

(4 a^{2} - a + 3)^{2}

16 a^{4} - 8 a^{3} + 25 a^{2} - 6 a + 9

Solution steps

(4 a^{2} - a + 3)^{2}

Apply exponent rule:

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

(4 a^{2} - a + 3)^{2} = (4 a^{2} - a + 3) (4 a^{2} - a + 3)

= (4 a^{2} - a + 3) (4 a^{2} - a + 3)

Distribute parentheses

= 4 a^{2} \cdot 4 a^{2} + 4 a^{2} (- a) + 4 a^{2} \cdot 3 - a \cdot 4 a^{2} - a (- a) - a \cdot 3 + 3 \cdot 4 a^{2} + 3 (- a) + 3 \cdot 3

Simplify

4 a^{2} \cdot 4 a^{2} + 4 a^{2} (- a) + 4 a^{2} \cdot 3 - a \cdot 4 a^{2} - a (- a) - a \cdot 3 + 3 \cdot 4 a^{2} + 3 (- a) + 3 \cdot 3 : 16 a^{4} - 8 a^{3} + 25 a^{2} - 6 a + 9

= 16 a^{4} - 8 a^{3} + 25 a^{2} - 6 a + 9

- 12 \cdot 5

- 2^{- 3} \cdot (- 2)^{0}

6 x + 4 y + 5 x

sin^{4} (x)

cos (3) (\frac{π + x}{12})

What is expand (4a^2-a+3)^2 ?
The solution to expand (4a^2-a+3)^2 is 16a^4-8a^3+25a^2-6a+9