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: Algebra

Basics of Algebra

Operations on Algebraic Expressions

Course Detail

PEMDAS- Sequence of Operations

The order or precedence of operations for algebraic expressions is same as that for numbers, we have discussed earlier in numbers.

Addition

In addition of algebraic expressions, coefficients of like terms of both expressions are added; for example:

Algebra Addition

Subtractions

In subtraction the signs of all the terms of expression that is to be subtracted are inverted i.e.’+’ to ‘-‘and ‘-‘to ‘+’ then coefficients of like terms are added; for example

Algebra Subtraction

Multiplication

Similar Variable: In multiplication of single terms having same variable, coefficients of the terms are multiplied and the exponents are added; for example 3x3 × 5x4 = 15x7

Dissimilar Variable: In multiplication of two algebraic expressions, multiply each term of first expression with all terms of the other one by one. Combine like terms of the resultant terms and write all these terms as an expression; for example 3K3 × 2P3 = 6K3P3

Factors

If an algebraic expression is a product of other algebraic expressions then these expressions are called factors of the original expression for example,

Algebra Factors

PEMDAS- Sequence of Operations

The order or precedence of operations for algebraic expressions is same as that for numbers, we have discussed earlier in numbers.

Addition

In addition of algebraic expressions, coefficients of like terms of both expressions are added; for example:

Algebra Addition

Subtractions

In subtraction the signs of all the terms of expression that is to be subtracted are inverted i.e.’+’ to ‘-‘and ‘-‘to ‘+’ then coefficients of like terms are added; for example

Algebra Subtraction

Multiplication

Similar Variable: In multiplication of single terms having same variable, coefficients of the terms are multiplied and the exponents are added; for example 3x3 × 5x4 = 15x7

Dissimilar Variable: In multiplication of two algebraic expressions, multiply each term of first expression with all terms of the other one by one. Combine like terms of the resultant terms and write all these terms as an expression; for example 3K3 × 2P3 = 6K3P3

Factors

If an algebraic expression is a product of other algebraic expressions then these expressions are called factors of the original expression for example,

Algebra Factors

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