Expand the Algebraic Expressions using Identities

Employ this batch of printable worksheets to enhance your skills in applying algebraic identities to expand algebraic expressions. Each section offers two levels of difficulty other than cubic expressions. Expand the algebraic expressions in the standard form (a+b)2, (a-b)2, (a+b) (a-b), (x+a) (x+b), (a+b+c)2, quadratic expressions, cubic expressions and much more. The exercises are curated for 8th grade and high school students. Procure some of these worksheets for free!

Expand (a+b)2 and (a-b)2

Expand the algebraic expressions involving single and multivariables by using either (a+b)2 or (a-b)2 in these grade 8 worksheets.

  • easy 1
  • easy 2
  • easy 3
  • moderate 1
  • moderate 2
  • moderate 3

Expand (a+b) (a-b)

This batch of worksheets represents algebraic expressions as a product of two binomials. Apply the formula (a+b) (a-b) = a2 - b2, to expand each algebraic expression.

  • pdf 1
  • pdf 2
  • pdf 3
  • printable 1
  • printable 2
  • printable 3

Expand (x+a) (x+b)

Use our resources for extensive practice to determine the product of two binomials, whose first terms are same and second terms are different. Compare the expression with the identity (x+a) (x+b) = x2 + (a+b) x + ab to expand the given algebraic expression.

  • practice 1
  • practice 2
  • practice 3
  • worksheet 1
  • worksheet 2
  • worksheet 3

Expand (a+b+c)2

Give high school students a jump start on the expansion of the square of a trinomial with these printable worksheets. Build up the skills in applying the identity (a+b+c)2 = a2 + b2 + c2 + 2 (ab + bc + ca) to expand the expressions.

  • exercise 1
  • exercise 2
  • exercise 3
  • pdf 1
  • pdf 2
  • pdf 3

Expanding Quadratic Expression

These printable algebra worksheets feature algebraic expressions in the form of square identities. Look at the expression and apply suitable identity to expand the expression.

  • printable 1
  • printable 2
  • printable 3
  • practice 1
  • practice 2
  • practice 3

Expand (a+b)3 and (a-b)3

Strengthen your algebraic skills in using the identities (a+b)3 and (a-b)3 to expand the set of algebraic expressions enclosed in these amazing series of pdf worksheets.

  • worksheet 1
  • worksheet 2
  • worksheet 3

Multiply: (a+b) (a2 - ab + b2), (a-b) (a2 + ab + b2)

Algebraic expressions featured in this compilation of worksheets are in the form (a+b) (a2 - ab + b2) and (a-b) (a2 + ab + b2). Apply the sum of cubes or difference of cubes identity to determine the product.

  • exercise 1
  • exercise 2
  • exercise 3

Expanding Cubic Expression

Explore this batch of challenging worksheet pdfs to learn how to apply cube identities to expand the algebraic expressions. It provides students with a good foundation in learning algebraic identities.

  • pdf 1
  • pdf 2
  • pdf 3