Algebraic Products - Topic 3

Question 1

Expand: 2 (x + 1)

Answer 1

2x + 2

Question 2

Expand: -3 (x + 2)

Answer 2

-3x + (-6)

Question 3

Expand: -3x (y - 2z)

Answer 3

-3xy + 6xz

Question 4

(x + 8) (x + 3)

Answer 4

x^2 + 3x + 8x + 24

x^2 + 11x + 24

Question 5

+ + =
- - =
+ - =
- + =

Answer 5

+ + = +
- - = +
+ - = -
- + = -

Question 6

(3x + 2) (2x +3)

Answer 6

6x^2 + 9x + 4x + 6

6x^2 + 13x + 6

Question 7

(m + n)^2

Answer 7

(m + n) (m + n)
m^2 + mn + mn + n^2
m^2 + n^2 + 2mn

Question 8

(x + 12) (x - 12)

Answer 8

x^2 - 12x + 12x - 144

x^2 - 144

Question 9

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

Answer 9

15x^2 + 25x - 6x - 10 - (3x +5) (x + 2)
15x^2 + 19x - 10 - 3x^2 + 6x + 5x + 10
15x^2 + 19x - 10 - 3x^2 + 11x + 10
12x^2 + 30x