simplify (x-i+2)^2

Solution

simplify

(x - i + 2)^{2}

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

Solution steps

(x - i + 2)^{2}

Apply exponent rule:

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

(x - i + 2)^{2} = (x - i + 2) (x - i + 2)

= (x - i + 2) (x - i + 2)

Distribute parentheses

= xx + x (- i) + x \cdot 2 - i x - i (- i) - i 2 + 2 x + 2 (- i) + 2 \cdot 2

Simplify

xx + x (- i) + x \cdot 2 - i x - i (- i) - i 2 + 2 x + 2 (- i) + 2 \cdot 2 : - 4 i + x^{2} - 2 x i + 4 x + 3

= - 4 i + x^{2} - 2 x i + 4 x + 3

Rewrite in standard complex form:

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

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

\frac{3 x + 2}{( x - 15 ) ( x + 1 )}

A (3, - 6) Y (7, 8)

ln (x) x (x + 2) (x + 6)

e^{(- 3 + i) t}

\frac{e ^{k (t - a)} - 1}{e ^{k (t - a)} + 1}