Factoring Special Polynomials

Difference of Squares

100

x² - y²

What is (x-y)(x+y)

200

1 - p²

What is (1+p)(1-p)

300

25 - 36k²

What is (5+6k)(5-6k)

400

v² - 36t²

What is (v+6)(v-6t)

Perfect Square Trinomials

100

a²+2ab+b²

What is (a+b)²

200

1+2p+p²

What is (1+p)²

300

36e²+12e+1

What is (6e+1)²

400

49g² - 112gh + 64h²

What is (7g - 8h)²

Perfect Square Trinomials

100

x² - 2xy+y²

What is (x - y)²

200

y²+6y+9

What is (y+3)²

300

j⁴-4j²⁺4

What is (j²-2)²

400

121+22w+w²

What is (11+w)²

Difference of Squares

100

a² - b²

What is (a-b)(a+b) or (a+b)(a-b)

200

x² - 49

What is (x+7)(x-7)

300

4 - n²

What is (2 - n)(2 + n)

400

5x² - 80

What is 5(x+4)(x-4)