simplify (3-i)^2

Solution

simplify

(3 - i)^{2}

8 - 6 i

Solution steps

(3 - i)^{2}

Apply Perfect Square Formula:

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

(3 - i)^{2} = 3^{2} - 2 \cdot 3 i + i^{2}

= 3^{2} - 2 \cdot 3 i + i^{2}

Simplify

3^{2} - 2 \cdot 3 i + i^{2} : - 6 i + 8

= - 6 i + 8

Rewrite in standard complex form:

8 - 6 i

= 8 - 6 i

(x - 7) (x (x - 1) - 30)

112 \geq b + 128

\frac{20 !}{4 ! ( 20 - 4 ) !}

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