4.05 Distributive Law + FOIL

2(x + 3)

• 2x+3

• 6+3x

• 2x+6

• 2x-6

Simplify:

4(3 − a)

• -12+4a

• 12-4a

• 43-a

• 12+4a

Simplify:

2m(m + n)

• 2mm+2n

• 2nm+2mn

• 2m²+2mn

• 2n²+2m

Simplify:

−3(a + 5)

• -3a+15

• 3a+15

• 3a-15

• -3a-15

Simplify:

−(8 − 2p)

• 8-2p

• -8-2p

• -8+2p

• -8+6p

Expand using FOIL

(b+2)(3b − 5)

• 4b-3

• 3b²+b-10

• 3b²-2b-10

• 3b²+10b - 1

Expand using FOIL

(z-1)(z+10)

• z²+10z-10

• z³-10z-10

• z²+9z-10

• z²+9z-8

Expand using FOIL

(x+1)²

• x²+2x+1

• 2x²+4x+1

• 3x²+2x+2

• x²+4x+1

Expand using FOIL

(2y-3)²

• 4y²+12y+9

• 4y²-12y+9

• 4x²+2x+2

• x²-12x+1

Expand the brackets and collect the like terms

(x+y)(x-2y)+3xy

• x²-5y²+2xy

• -x²+2y²-2xy

• 2x²-4y²+3xy

• x²+2xy-2y²