Special Polynomials and Complex Numbers

Difference of Squares

100

25k^2 - 36

(5k+6)(5k-6)

200

49v² - 81

(7v+9)(7v-9)

300

w^4-16

(w^2+4)(w^2-4)

400

1 - p²

(1+p)(1-p)

Perfect Squares

100

x^2-4x+4

(x-2)(x-2)

200

p^2+16p+64

(p+8)(p+8)

300

36e^2+12e+1

(6e+1)(6e+1)

400

49g² - 112g + 64

(7g - 8)(7g - 8)

Solving Quadratic Equations

100

Solve:

x^2=-49

x=+-7i

200

Solve:

5x^2=65

x=+-sqrt13

300

Solve:

x^2-4=20

x=+-2sqrt6

400

Solve:

-3x^2+7=25

x=+-isqrt6

Complex Numbers

100

Solve:

(9-3i)+(2+8i)

11+5i

200

Solve:

(7+2i)-(6+5i)

1-3i

300

Solve:

(2-2i)(6+3i)

18-6i

400

Solve:

(3+5i)(4+3i)

-3+29i