" Simplify ":(1-i)^(2)(1+i)-(3-4i)^(2)

Simplify: (1-i)^2/(1+i)^2

Simplify : (1+i)^(-2)-(1-i)^(-2)

Simplify : (1+i)^(2)+(1-i)^(2)

Simplify : (1+i)(2+3i)(3+4i)(4+5i) .

Simplify : (1+i^(3))(1+(1)/(i))^(2)(i^(4)+(1)/(i^(4)))

Simplify : (1+2i)/(1-2i)-(1-2i)/(1+2i)

Simplify : (1+2i)/(1-2i)-(1-2i)/(1+2i)

(v) (1-i) ^ (2) (1 + i) - (3-4i) ^ (2)

Simplify: (4i^9-3i^9)

Simplify each of the following and express it in the form a + ib : {:((i),2(3+4i)+i(5-6i),(ii),(3+sqrt(-16))-(4-sqrt(-9))),((iii),(-5+6i)-(2+i),(iv),(8-4i)-(-3+5i)),((v),(1-i)^(2)(1+i)-(3-4i)^(2),(vi),(5+sqrt(-3))(5-sqrt(-3))),((vii),(3+4i)(2-3i),(viii),(-2+sqrt(-3))(-3+2 sqrt(-3))):}