Math scape 5.1

Question 1

Expand (x + 5)(x + 3)

Answer 1

x2 + 8x + 15

Question 2

Expand (x + 2)(y + 3)

Answer 2

xy + 3x + 2y + 6

Question 3

Expand (u − 4)(v − 6)

Answer 3

uv − 6u − 4v + 24

Question 4

Expand (x + 2)(x + 4)

Answer 4

x2 + 6x +8

Question 5

Expand (7v − 2)(3v − 8)

Answer 5

21v2 − 62v + 16

Question 6

Expand (x + 2)(x + 1)

Answer 6

x2 + 3x + 2

Question 7

Expand (j − 8)(j − 7)

Answer 7

j2 − 15j + 56

Question 8

Expand and simplify 3(2a + 5)(a − 4)

Answer 8

6a2 − 9a − 60

Question 9

Expand (a + b)2

Answer 9

a2 + 2ab + b2

Question 10

Expand (p − q)2

Answer 10

p2 − 2pq + q2

Question 11

Expand (a + 3)2

Answer 11

a2 + 6a + 9

Question 12

Expand (p − 9)2

Answer 12

p2 − 18p + 81

Question 13

Expand (2x + 3)2

Answer 13

4x2 + 12x + 9

Question 14

Expand (x + 1/x)2

Answer 14

x2 + 2 + 1/x2

Question 15

Is k2 + 4 a perfect square?

Answer 15

no

Question 16

Is x2 + y2 + 2xy a perfect square?

Answer 16

yes

Question 17

Complete the perfect square (m + 5)2 = m2 + 10m + _____

Answer 17

25

Question 18

Complete the perfect square (_____)2 = 49z2 − 42z + _____

Answer 18

7z − 3, 9

Question 19

Expand (m + n)(m − n)

Answer 19

m2 − n2

Question 20

Expand (ab − 8c)(ab + 8c)

Answer 20

a2b2 − 64c2

Question 21

Expand (a + 7)(a +2) + 4

Answer 21

a2 + 9a + 18

Question 22

Expand (4m − 3)(4m + 3) − (4m − 3)2

Answer 22

24m − 18

Question 23

Expand (x + 2)(x2 + 3x + 4)

Answer 23

x3 + 5x2 + 10x + 8