What is expand (x^2+3x+4)^2 ?

The solution to expand (x^2+3x+4)^2 is x^4+6x^3+17x^2+24x+16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x^2+3x+4)^2

expand

(x^{2} + 3 x + 4)^{2}

x^{4} + 6 x^{3} + 17 x^{2} + 24 x + 16

Solution steps

(x^{2} + 3 x + 4)^{2}

Apply exponent rule:

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

(x^{2} + 3 x + 4)^{2} = (x^{2} + 3 x + 4) (x^{2} + 3 x + 4)

= (x^{2} + 3 x + 4) (x^{2} + 3 x + 4)

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 3 x + x^{2} \cdot 4 + 3 x x^{2} + 3 x \cdot 3 x + 3 x \cdot 4 + 4 x^{2} + 4 \cdot 3 x + 4 \cdot 4

Simplify

x^{2} x^{2} + x^{2} \cdot 3 x + x^{2} \cdot 4 + 3 x x^{2} + 3 x \cdot 3 x + 3 x \cdot 4 + 4 x^{2} + 4 \cdot 3 x + 4 \cdot 4 : x^{4} + 6 x^{3} + 17 x^{2} + 24 x + 16

= x^{4} + 6 x^{3} + 17 x^{2} + 24 x + 16

\frac{1}{3 - 4 i}

e^{l n ∣ l n (x) ∣}

3 (x + 9) - (x - 6)

42 \cdot 5

\frac{x ^{- 7}}{x ^{4}}

What is expand (x^2+3x+4)^2 ?
The solution to expand (x^2+3x+4)^2 is x^4+6x^3+17x^2+24x+16