Algebraic Expressions
The Algebraic expressions have the variables and the constants. The algebraic expressions are the finite
combination of the symbols that are formed according to the rules of the context. The algebra is an expression which
is used to designate the value for the given values in the expression. The expression might be depending on the
values assigned to the values assigned in the expression. The expression is the syntactic concept in the algebra.
The online provides the connectivity between the tutors and the students. This article has the information about learn
online algebraic expressions.
Simplifying algebraic expressions
Below are the examples on Simplify algebraic expressions
Example 1
Compute the factors for the expression x2+ 56x+ 768.
Solution:
The given expression is x2+ 56x+ 768.
Step 1: x2+ 56x+ 768 = x2+24x+ 32x+ (24x 32)
Step 2: x2+ 56x+ 768 = x(x+24) + 32(x +24)
Step 3: x2+ 56x+ 768 = (x+24) (x+32)
Step 4: x+24 and x+32
The factors for the given expression x2+ 56x+ 768 are (x +24) and (x +32).
Example 2
Compute the factors for the expression x2+ 76x+ 1440.
Solution:
The given expression is x2+ 76x+ 1440.
Step 1: x2+ 76x+ 1440 = x2+36x+ 40x+ (36x 40)
Step 2: x2+ 76x+ 1440 = x(x+36) + 40(x +36)
Step 3: x2+ 76x+ 1440 = (x+36) (x+40)

Step 4: x+36 and x+40
The factors for the given expression x2+ 76x+ 1440 are (x +36) and (x +40

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Example 3
Simplify the expression 24xy + 10 x2y + 14 x y + 16 x2y + 10 x y.
Solution:
The given expression is 24xy + 10 x2y + 14 x y + 16 x2y + 10 x y.
Step 1: 24xy + 10 x2y + 14 x y + 16 x2y + 10 x y = x y (24 +14 +10) + x2y (10+ 16)
Step 2: 24xy + 10 x2y + 14 x y + 16 x2y + 10 x y = 48 x y + x2y (10+ 16)
Step 3: 24xy + 10 x2y + 14 x y + 16 x2y + 10 x y = 48 x y + 26 x2y
The value for the given expression 12xy + 13 x2y + 16 x y + 20 x2y is 48 x y + 26 x2y.
Practice problems
Below are the practice problems on algebraic expressions -
* Determine the value for the algebraic expression x2+ 50x+ 600.
Answer: (x + 30) (x + 20)
* Simplify the expression 80 x y + 15 x2y + 5 x y + 17 x2y.
Answer: 85 x y + 32 x2y.

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