Home
Class 12
MATHS
Express (1-i)^(3)(1+i) in the form of a+...

Express `(1-i)^(3)(1+i)` in the form of `a+ib`

Text Solution

Verified by Experts

`(1-i)^(3)(1+i)=(1-i)^(2)(1-i)(1+i)`
`=(1+i^(2)-2i)(1^(2)-i^(2))`
`=0-4i=0+i(-4)`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -1 (A)|11 Videos
  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -1 (B)|37 Videos
  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(e)|25 Videos
  • DE MOIVRE'S THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Questions|6 Videos

Similar Questions

Explore conceptually related problems

Express (2-3i)/(1+i) in the form of a + ib

Express (5-3i)^(3) in the form a+ib.

Express (2-3i)^3 in the form of a + ib

Express (4+3i)/((2+3i)(4-3i)) in the form of x + iy

Express 1/(4-5i) in the form of a + ib

Express (3- 2i)/(5 + 4i) + (3 + 2i)/(5 - 4i) in the form of a + ib

((2+3i)/(2-3i))-((2-3i)/(2+3i)) in the form of a + ib

Express (4+2i)/(1-2i) +(3+4i)/(2+3i) in the form a+ib, a in R b in R

Express (3-2i)/(5+4i)+(3+2i)/(5-4i) in the form of a + ib

Express the following in the form of a+bi, (i) (-5i) (1/8 i) , (ii) (-i)(2i)(-1/8i)^(3)