Evaluate 2a + 4b
if a = 10     and    b = 6

Evaluate 3x + 8   if x = 2

Expand the following using distributive property of multiplication:
6(x + 4x)

Given Expression:
6(x + 4x)
Since, the given expression is in the form of a(b+ c) we can apply Distributive Law which produces ab + ac as a result.
Similarly, By applying the Distributive Law to 6(x + 4x):
6(x + 4x)
= 
= 6x + 24x.
Hence, the expansion of the 6(x + 4x) becomes 6x + 24x.

Evaluate bc + 5a
When a = 3, b = 4, and c = -6

Simplify the following using distributive property of multiplication: 4(3x+5)

Given Expression:
4(3x+5)
Since, The given expression is in the form of a(b+ c) then, we can apply Distributive Law which produces ab+ ac as a result.
Similarly, By applying the Distributive Law to 4(3x+5) :
4(3x+5)
= 
=(12x) + (20)
=12x + 20.
Hence, the expression 4(3x+5) becomes 12x + 20 after it's evaluation.

Expand the following using distributive property of multiplication:
6(12x–7)

Given Expression:
6(12x–7)
Since, it is in the form a(b+ c) we can apply Distributive Law which produce ab+ ac as a result.
Similarly, By applying Distributive Law to 6(12x–7) :
6(12x–7)
= 
= (72x) + (-42)
= 72x - 42.
Hence, the expression 6(12x–7) becomes 72x - 42 after it's expansion.

Expand the following using distributive property of multiplication: 14(8x−3)

Given Expression:
14(8x−3)
Since, the given expression is in the form of a(b+ c) we can apply Distributive Law which produces ab + ac as a result.
* similarly, By applying the Distribution law to 14(8x−3):
14(8x−3)
= 
= (112x) + (-42)
=112x-42.
Hence, the expression 14(8x−3) becomes 112x -42 after it's expansion.

Simplify the following using distributive property of multiplication: 3(9x−5)

Given Expression: 
3(9x−5)
Since, it is in the form of a(b+ c), we can apply Distributive Law which produces ab+ ac as a result.
Similarly, By applying the Distribution Law to 3(9x−5):
3(9x−5)
= 
= (27x)+(-15)
= 27x-15.
Hence, the expression 3(9x−5) becomes 27x-15 after expansion.

Expand 4(8y + 15)

Given Expression:
4(8y + 15)
Since, it is in the form a(b+ c), we can apply Distributive Law of Multiplication which produces ab+ ac as result.
Similarly, By applying the Distribution Law to 4(8y + 15):
4(8y + 15)
= 
= (32y) + (60)
= 32y + 60.
Hence, the expansion of 4(8y + 15) yields 32y + 60.

Simplify the following using distributive property of multiplication: 10 (7m+3n)

Given Expression:
                            10 (7m+3n)
Since, it is in the form of a(b+ c), we can apply distributive law which produces ab +ac as a result.
Similarly, By applying the Distributive Law to a 10 (7m+3n):
10 (7m+3n)
= 
= 70m + 30n.
Hence, the expansion of 10 (7m+3n) is 70m + 30n.

Simplify the following using distributive property of multiplication: 8 (7q+4)

Given Expression:
8 (7q+4)
Since, it is in the form a(b +c) we can apply Distributive Law which produces ab + ac as a result.
Similarly, By applying the Distributive Law to 8 (7q+4) :
8 (7q+4)
= 
= 56q + 32.
Hence, the distribution property of multiplication to 8 (7q+4) yields 56q + 32.

Expand by distributive property. −3(−2a+3)

Given expression:
−3(−2a+3)
Since, it is in the form a(b+ c) we can apply Distribution law which produces ab + ac as result.
Similarly, By applying the Distribution Law to −3(−2a+3) :
−3(−2a+3)
= 
= 
= 6a -9.
Hence, The expression −3(−2a+3) yields 6a -6 after it's expansion.

Expand the expression using the distributive property. 4(k−7)

Given Expression:
4(k−7)
Since, it is in the form a(b+ c), we can apply the distribution law which yields ab+ ac as result.
Similarly, By applying the Distributive Law to 4(k−7):
4(k−7)
= 
= 4k -28.
Hence, the expression 4(k−7) becomes 4k -28 after it's expansion.

Find the sum: (7k + 9) + (4k - 3)

Add these expressions (x + 5) + (2x + 10)

Given Expression:
(x + 5) + (2x + 10)
>>> First step to remove the parenthesis present in the expression
Then, the Expression becomes:
x + 5 + 2x + 10
>>>second step is to reduce the like terms that are present in the expression using operations existing in between them.
* Like terms present in the given Expression are x, 2x and 5, 10. Then:
Then, the Expression becomes:
(x + 5) + (2x + 10)
= x + 5 + 2x + 10
= (x+ 2x) + (5+ 10)
= 3x + 15.
***Hence, the expression  (x + 5) + (2x + 10) is equals to 3x + 15.

The simplified form of this expression is?
3x + 4 + 5x + 3

Given Expression:
3x + 4 + 5x + 3
>>>first step is to reduce the given expression using reduction of like terms using the operation existing in between them.
>>Like terms present in the expression are 3x, 5x and 4, 3 .Then,
* Hence, the expression 3x + 4 + 5x + 3 becomes:
3x + 4 + 5x + 3
= (3x + 5x) +(4 + 3)
= 8x + 7.
*** Hence, the expression 3x + 4 + 5x + 3 is equals to 8x + 7 .