Special Products

FOIL Method

100

(v+2)(v-1)

v²+v-2

200

(x-4)(x+3)

x²-x-12

300

(3x-2)(5x+8)

15x²+14x-16

400

(3b+2)(b-7)

3b²-19b-14

500

(4-5a)(7-5a)

28-55a+25a²

Squaring a Binomial

100

(3-2w)²

9-12w+4w²

200

(5-y)²

25-10y+y²

300

(u-3)²

u²-6u+9

400

(5-7y)²

25-70y+49y²

500

(2-7x)²

4-28x+49x²

Sum and Difference of Two Terms

100

(c+9)(c-9)

c²-81

200

(w+6)(w-6)

w²-36

300

(9+b)(9-b)

81-b²

400

(10-z)(10+z)

100-z²

500

(8+3z)(8-3z)

64-9z²

Multiplying by monomial

100

-9w⁵(-8w-2)

72w⁶+18w⁵

200

-4x⁶(-8x²+5x)

32x⁸-20x⁷

300

-8v⁵(6v²-8v+7)

-48v⁷+64v⁶-56v⁵

400

-5x⁵(-8x³+3x)

40x⁸-15x⁶

500

-4u⁶(4u³-3u-2)

-16u⁹+12u⁷+8u⁶