simplify (10+i)^2

Solution

simplify

(10 + i)^{2}

99 + 20 i

Solution steps

(10 + i)^{2}

Apply Perfect Square Formula:

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

(10 + i)^{2} = 1 0^{2} + 2 \cdot 10 i + i^{2}

= 1 0^{2} + 2 \cdot 10 i + i^{2}

Simplify

1 0^{2} + 2 \cdot 10 i + i^{2} : 20 i + 99

= 20 i + 99

Rewrite in standard complex form:

99 + 20 i

= 99 + 20 i

- 5 - 15

(x + 7)^{2} - (x + 7) - 2

\frac{3 x ^{3}}{3 x ^{2}}

32 - 72

x^{5} + \frac{1}{x ^{5}}