Purchase Solution

Algebraic identities

Not what you're looking for?

Ask Custom Question

Draw and describe how each of the following algebraic identities could be represented geometrically:

a) (a-b)^2 = a^2 - 2ab + b^2
b) a(b+c)=ab + ac
c) (a+b)(c+d)=ac+bc+ad+bd

Please use illustrations of each with an explanation of the illustration so I can understand the process used to complete this type of problem. THANK YOU!

Purchase this Solution
Solution Summary

This shows how to draw and describe algebraic identities and geometric representation.

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
Related BrainMass Solutions

  • Algebraic expression for sin(Arcsin x + Arctanx)

    /form_tri.html The expert finds an algebraic expression for functions.

  • Information about "Trigonometric Identities"

    For example, in basic algebra students are expected to master various algebraic factoring identities such as a^2 - b^2 = (a - b)(a + b) In trigonometry, trigonometric identities are equations involving trigonometric functions that are true for ALL

  • Polynomial Identities

    615250 Polynomial Identities Polynomial Identities and Proofs Essential Questions: • How can polynomial identities be proven? • What can polynomial identities apply to beyond just polynomials?

  • Proof of two Legendre Symbol identities

    464076 Proof of two Legendre Symbol identities 1) Use that (Z/pZ)* is cyclic to directly prove that (-3/p) = 1 when p = 1 (mod 3). 2) If p = 1 (mod 5), directly prove that (5/p) = 1.

  • Affine Algebraic Sets and Topologies

    Affine Algebraic Sets and Topologies are investigated. The collection of algebraic sets is algebraic and the union of two algebraic sets is algebraic.

  • Arbitrary union of algebraic sets.

    This is a good counter example to show that an arbitrary union of algebraic sets need not to be algebraic. It is shown that an arbitrary union of algebraic sets need not be algebraic.

  • Transcendence basis

    Thus is algebraic over the field . Now we have and is algebraic over . Since is algebraic over , then is also algebraic over .

  • Algebraic Numbers

    58982 Algebraic Numbers Show that there are infinitely many algebraic numbers such that . If and are distinct algebraic numbers with = , then what are the possible values of ?

  • Fields Extensions/Algebraic

    If [ F : K ] < , then F is algebraic over K. Conversely if F = K ( u 1 , ... u n ), where u i is algebraic over K for every i , then [ F : K ] < .

View More Related Solutions