# Sample quiz on expanding binomials Main home here.

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 $a,b,c$.
$a=6,b=13,c=5$
$a=6,b=17,c=-5$
$a=6,b=17,c=5$
$a=6,b=13,c=-5$