he

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

פּוֹפּוּלָרִי >

simplify (2+xi)^2

פתרון

simplify

(2 + x i)^{2}

פתרון

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

צעדי פתרון

(2 + x i)^{2}

(a + b)^{2} = a^{2} + 2 ab + b^{2}

:הפעל נוסחת הכפל המקוצר

(2 + x i)^{2} = 2^{2} + 2 \cdot 2 x i + (x i)^{2}

= 2^{2} + 2 \cdot 2 x i + (x i)^{2}

2^{2} = 4

2 \cdot 2 x i = 4 x i

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

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

Rewrite in standard complex form:

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

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

דוגמאות פופולריות

simplify (a+bi)^6 simplify

(a + bi)^{6}

expand (1+cos(t))(e^{t^2}+t)^2 expand

(1 + cos (t)) (e^{t^{2}} + t)^{2}

expand (x^2)^2 expand

(x^{2})^{2}

expand 1/((1+x^2)^2)expand

\frac{1}{( 1 + x ^{2} ) ^{2}}

expand sin(x)(sin(x)+cos(x))expand

sin (x) (sin (x) + cos (x))