Algebra I/Exponential Functions/Multiplication of Exponents

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Example Problems

Ex.1

 (c+3)(c-2)-(c+2)(c-3)= 

(c²-2c+3c-6)-(c²-3c+2c+6)=

c²-2c+3c-6-c²+3c-2c-6=

Answer: 2c

Ex.2

  3(2s+4)(s-3)-2(s+3)(2s-4)=

(6s+12)(s-3)-(2s+6)(2s-4)=

(6s²-18s+12s-36)-(4s²-8s+12s-24)=

(6s²-6s-36)-(4s²+4s-24)=

6s²-6s-36-4s²-4s+24=

Answer: 2s²-10s-12

Practice Problems

Easy

 (x+2)(x-4)

  x(x+2)+2(x-4)

  (3a+4)(2a-2)

  4s(s²+s)-4s²(s-1)

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Medium

  2(2x²+4)(2x+3)+(2x+5)

  5(x+2)(3-4)-2(x+2)

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Hard

 (a+2)²-3(a+2)+10-(a+2)²+3a=

  v(v+1)-v(v+2)+v(v+5)-v(v+4)=

  (2d+2)(3d-2)-(3d+2)(2d-3)=