What is factor (5+i)^2 ?

The solution to factor (5+i)^2 is 24+10i

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factor (5+i)^2

factor

(5 + i)^{2}

24 + 10 i

Solution steps

(5 + i)^{2}

Apply Perfect Square Formula:

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

a = 5, b = i

= 5^{2} + 2 \cdot 5 i + i^{2}

Simplify

5^{2} + 2 \cdot 5 i + i^{2} : 24 + 10 i

= 24 + 10 i

Rewrite as

= 2 \cdot 12 + 2 \cdot 5 i

Factor out common term

2

= 2 (12 + 5 i)

Rewrite

2 (12 + 5 i)

in standard complex form:

24 + 10 i

= 24 + 10 i

- \frac{10}{3} - 1

x^{2} + 5 x - 21 = 0

\frac{x ^{2} y ^{- 5}}{x ^{- 8} y ^{- 8}}

2 x - 1 = 3 x + 8

\frac{2 n ^{2}}{n}