Sample quiz on expanding binomials
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  1. Expand $(x+1)(x+2)$
    $x^2-3x+2$
    $x^2+3x-2$
    $x^2+3x+2$
    $x^2-3x-2$
  2. Expand $(x-1)(x+2)$
    $x^2+x-2$
    $x^2+x+2$
    $x^2-x-2$
    $x^2+3x-2$
  3. Expand $(2x+1)(x+2)$
    $2x^2+3x+2$
    $2x^2+5x+2$
    $2x^2-5x+2$
    $x^2+5x-2$
  4. Expand $(3x+1)(x+3)$.
    $3x^2+3x+3$
    $3x^2+10x+3$
    $x^2+9x+3$
    $x^2-10x+3$
  5. Expand $(x-2)(x+2)$
    $4-x^2$
    $4+x^2$
    $x^2-4$
    $x^2-4x-4$
  6. Expand $(3x+2)(2x+3)$
    $6x^2+13x+6$
    $6x^2+12x+6$
    $6x^2-13x+6$
    $6x^2+13x-6$
  7. Expand $(3x-5)(7x+4)$.
    $21x^2+23x-20$
    $21x^2-47x-20$
    $21x^2-23x-20$
    $21x^2+23x-20$
  8. Expand $(2x-1)(2x-1)$.
    $4x^2+4x+1$
    $4x^2-2x+1$
    $4x^2+4x-1$
    $4x^2-4x+1$
  9. Expand $(3x-y)(2x+5y)$.
    $6x^2-13xy+5y^2$
    $6x^2+13xy-5y^2$
    $6x^2+13xy+5y^2$
    $6x^2-17xy-5y^2$
  10. Expand $(x-3y)(4x+7y)$.
    $4x^2-19xy+21y^2$
    $4x^2-5xy-21y^2$
    $4x^2+19xy-21y^2$
    $4x^2+5xy-21y^2$
  11. Expand $-3(2x-1)(2x+1)$.
    $-12x^2-3$
    $-12x^2-1$
    $-6x^2-3$
    $-12x^2+3$
  12. Expand $7(3x+2)(2x-1)$.
    $42x^2+7x-14$
    $42x^2-7x-14$
    $42x^2+7x-2$
    $42x^2+x-14$
  13. Expand and simplify: $(2x-1)(2x-1)-(1+2x)(1+2x)$.
    $0$
    $8x$
    $-8x$
    $-6x$
  14. Expand and simplify: $3(3x-1)(4x-1)+4(5x-1)(6x-1)$.
    $156x^2+65x+7$
    $156x^2-65x-7$
    $156x^2+65x-7$
    $156x^2-65x+7$
  15. Expand and simplify: $7(4x+3)(2x-1)-5(x+2)(x+3)$.
    $51x^2-11x-51$
    $51x^2+39x+9$
    $51x^2+11x-51$
    $51x^2+9x-27$
  16. Expand and simplify: $4(2x+1)(2x-1)+2(4x-1)(4x+1)$.
    $48x^2-6$
    $48x^2+6$
    $48x^2+6x$
    $48x^2-6x$
  17. Which of the following results from a product of the form $\boxed{(ax+b)^2}$?
    $4x^2+12x+16$
    $4x^2-12x-9$
    $4x^2+12x+16$
    $4x^2+12x+9$
  18. Which of the following results from a product of the form $\boxed{(ax-b)(ax+b)}$?
    $25x^2+4$
    $25x^2-4$
    $25x^2-4x$
    $25x^2+4x$
  19. Expand and simplify: $-9(2x-1)(2x-1)-5(3x+2)(x-4)$.
    $-51x^2-86x-49$
    $-51x^2-14x-31$
    $-51x^2+86x+49$
    $-51x^2+86x+31$
  20. If $(2x+5)(3x-1)$ is expanded in the form $ax^2+bx+c$, determine the values of $a,b,c$.
    $a=6,b=13,c=5$
    $a=6,b=17,c=-5$
    $a=6,b=17,c=5$
    $a=6,b=13,c=-5$