More Distributive Property
Goal: To learn how to expand and simplify polynomials/expressions
a) 3x + 5 – 2x-6
=3x+35-2x-2-6 Distribute
=3x+15-2x+12 Simplify (Multiply)
=x+27 Simplify (Add/Subtract)
b) -3(x-4) + 5(x-3)
=-3(x)-3(-4)+5(x)+5(-3) Distribute
=-3x + 12 +5x-15← Simplify
=-3x+5x+12-15 collect like tums
=2x-3 add/Subtract
c) 3[2(p + 4)-5p]
= 3[2(p) + 2(4) – 5P]
= 3(2p + 8 – 5P)
= 3(2p – 5p + 8)
= 3(- 3p + 8)
= 3(- 3p) + 3(8)
= – 9p + 24
d) 148x+3-236x+1 Distribute
=148x+143-236x-231 Simplify
=84x+34-123x-23
=2x+34-22x-23
=2x-4x+34-23
=-2x+3343-2434
=-2x+912-812
=-2x+9-812
=-2x+112
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