Basic Algebra/Exponential Functions/Multiplication of Exponents

Vocabulary Lesson 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-12 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 Use ^ for exponentiation {Easy} { |type="{}" coef="1"} (x+2)(x-4)={ x^2 - 2x - 8 (i)|x^2-2x-8 (i) _23 } { |type="{}" coef="1"} x(x+2)+2(x-4)={ x^2 + 4x - 8 (i)|x^2+4x-8 (i) _23 } { |type="{}" coef="1"} (3a+4)(2a-2)={ 6a^2 + 2a - 8 (i)|6a^2+2a-8 (i) _23 } { |type="{}" coef="1"} 4s(s²+s)-4s²(s-1)={ 8s^2 (i)|8s^2 (i) _23 } {---- Medium} { |type="{}" coef="2"} 2(2x²+4)(2x+3)+(2x+5)={ 8x^3 + 12x^2 + 18x + 29 (i)|8x^3+12x^2+18x+29 (i) _23 } { |type="{}" coef="2"} 5(x+2)(3-4)-2(x+2)={ -7x - 14 (i)|-7x-14 (i) _23 } {---- Hard} { |type="{}" coef="3"} (a+2)²-3(a+2)+10-(a+2)²+3a={ -3a + 4 (i)|-3a+4 (i) _23 } { |type="{}" coef="3"} v(v+1)-v(v+2)+v(v+5)-v(v+4)={ 0_23 } { |type="{}" coef="3"} (2d+2)(3d-2)-(3d+2)(2d-3)={ 7d + 2 (i)|7d+2 (i) _23 }