# Distributive Property Calculator

Distributive Property Calculator is a free online tool that displays the solutions for the given expression using the distributive property. BYJU’S online distributive property calculator tool makes the calculations faster and it displays the simplification of numbers in a fraction of seconds.

## How to Use the Distributive Property Calculator?

The procedure to use the distributive property calculator is as follows:
Step 1: Enter an expression of the form a (b+c) in the input field
Step 2: Now click the button “Submit” to get the simplified expression
Step 3: Finally, the simplification of the given expression will be displayed in a new window.

### Distributive Property in Maths

In Mathematics, the numbers should obey the characteristic property during the arithmetic operations. The different properties are associative property, commutative property, distributive property, inverse property, identity property and so on. The distributive property is the one which allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac

### Example

Question:
Simplify the given expression 4(2 + 8)
Solution:
Given expression: 4(2+ 8)
We know that the distributive property is given by:
a(b+c) = ab+ ac
Hence,
4(2 + 8) = 4(2) + 4(8)
=8+ 32
= 40
Therefore, 4 (2+8) is 40

1. 3(x + 4)

• 3(x+4) = 3x+12

2. 8 − 3(6 − 6𝑥)

• 8-3(6-6x) =8 -18+18x
=-10+18x
=18x-10

• Can you please, distrubute 54 + 72?

3. Help me find this
18×4=(8×4)+(_ ×4)=

• 18×4=(8×4)+(10 ×4)= 72

4. I love this app it really helps

5. This is such a good website! Thank you for helping me do math!

6. What is the distributive property of 3(10n+9)

• The distributive property of 3(10n+9) is 30n+27.

• What is 7×4

• 7 x 4 = 28

7. simpilfy of [45-4{2(72÷9×5-24+8)-12}÷9+(8-5)

• it is 32

8. x(8+9)=34

9. apply the distributive property to 4(9j+1+6j)

• 4 (9j + 1 + 6j)
= 36j + 4 + 24j
= 60j + 4

10. 5(2d+4)=35

11. what is the distributive property 3(v+5)

12. 6(2x-3)-8= -2

13. -11p + 6(1 – 11p) = 12(-7 – 10p) – 2p

14. Which of the following equations below illustrates Distributive Law?

7 × (3 + 16) = 7 × 3 × 7 × 16
5 + (9 + 0) = (5 + 9) + 0
5 × 9 = 9 × 5
25 × (5 + 9) = 25 × 5 + 25 × 9

15. 7/8x+9/10-2x-3/5

16. 1/2(-m-1)=8

17. y − 3(2y − 7) = 76

18. 6(10+z+3)

19. 6(-6 p – 6) + 2 = 146

• i need to rewrite using distributive property 3(2x+5)

20. Using the Distributive Property,write the equivalent expressions of the following:
a(-x+y-z)=
-5(71+8m+9n)=
m(v-v)=

21. 24x+18y+6z-12

22. 3(n-7) =27

23. 5(1+7k)

24. 35+50

25. What is the distributive property of 4(2+m)=

26. 264 x 15 using the distributive property.

27. What is the distributive property of the missing space?
81×20+97___=(81+97)×20

28. 9x 4 1/3=

29. Multiply using distributive property;
(3a+4b)(a-2b)

30. 3/2(5+6u)? Using distributive property

31. Can you help me with this answer pls -7x+-9+2+-8x

32. Can someone help me with 80 + 60w

33. Use the distributive property to write an expression that is equivalent to: 27x^2 -42x + 12

34. 6(10+z+3)

• 6(10+z+3)=60+6z+18
= 6z+78

• 7(2x + y) + 5(x+4y) = 14x+7y+5x+20y
= 19x+27y

36. 5(___ + 15) = 5(21)

• Let “x” be the unknown value
Thus, 5(x+15)= 5(21)
Using distributive property,
5x+75= 105
5x= 105-75
5x=30
x=30/5
x=6
Hence the unknown value in the equation is 6.

37. 8(6s+y)

• 8(6s+y) = 48s+8y

38. Method: DISTRIBUTIVE
7y (2x + 8 )

• 7y (2x + 8 ) = 14xy+56y

39. 3(t+2v)

• 3(t+2v)= 3t+6v

40. 1. 4 (3x-5)

2. -2/3 (3x – 5)

• 4(3x-5)= 12x-20
-2/3 (3x – 5)= (10/3)-2x

41. Whats 7( 2 + 3z) Can you show your work too?

• 7( 2 + 3z) = 2(7) + 3z(7)
= 14 + 21z

42. 3 × 15 = (3 × 12) + (3 × _)

• Let the unknown value be “x”
45= 36+3x
45-36=3x
3x=9
x=3
Hence, the unknown value is 3.

43. 4(5x-4y)

• 4(5x-4y) = 20x-16y

44. what is 6(3−12b)
and what are other ways and different answers

• 6(3−12b) = 18-72b
Different ways to represent 6(3−12b) are 2(9-36b), 3(6-24b), etc

45. im a bit confused on this problem

6(5 – 3x) – 5x = 99

• 6(5 – 3x) – 5x = 99
Using distributive property,
30-18x-5x=99
30-23x = 99
-23x= 99-30
-23x=69
x=-69/23
x=-3.

46. I need help with 11(3x + 5y)

• 11(3x + 5y) is equal to 33x+55y

47. (n-5)(-7)

• (n-5)(-7)= 35-7n