Question

Please help it urgent!!!!

Answer 1

1) 5(7
`x^(2)` - x + 8)

first box: 5 * 7 = 35

35 x^2

second box: 5 * -1 = -5

-5x

third box: 5 * 8 = 40

40

answer: 35
`x^(2)` - 5x + 40

2) 2x(4x^2 + 3x + 6)

first box: 2x * 4x^2

2 * 4 = 8

x * x^2 = x^3

8x^3

second box: 2x * 3x

2 * 3 = 6

x * x = x^2

6x^2

third box: 2x * 6

2 * 6 = 12

12x

answer: 8x^3 + 6x^2 + 12x

3) (tp + 5)(4p - 6)

top left box: tp * 4p

p * p = p^2

4t
`p^(2)`

top right box: tp * - 6

-6tp

bottom left box: 5 * 4p

5 * 4 = 20

20p

bottom right box: 5 * - 6

5 * -6 = -11

-11

answer: 4tp^2 - 6tp + 20p - 11

4) (4a - 8)(8a - 1)

top left box: 4a * 8a

4 * 8 = 32

a * a = a^2

32a^2

top right box: 4a * -1

4 * -1 = -4

-4a

bottom left box: -8 * 8a

-8 * 8 = -64

-64a

bottom right box: -8 * - 1

-8 * - 1 = 8

8

32a^2 - 4a - 64a + 8

combine like terms

32a^2 - 68a + 8 = answer