Multiply following.

(a) (4x²-x)(6-3x)

(b) (2x+6)²

Solution

 (a) (4x² - x )(6 - 3x )

Again we will only FOIL this one out.

(4x²  - x )(6 - 3x) = 24x² -12x³ - 6x + 3x² = -12x³ + 27 x² - 6x

 (b) (2x+6)²

Now recall that 4² = ( 4)( 4)= 16 .  Squaring with polynomials works the same way.  Thus in this case we have,

( 2x + 6)²  = ( 2 x + 6) ( 2 x+ 6) = 4x² + 12x + 12x + 36= 4x² +24x + 36

Following are example of some formula

 ( a + b ) ( a - b ) = a² - b²

( a + b )²  = a² + 2ab + b²

( a - b )²  = a² - 2ab + b²

Be careful to not make the following mistakes!

(a + b) ² ≠ a² + b²

(a - b )²  ≠ a²  - b²

These are very common mistakes that students often make while they start first learning how to multiply polynomials.

Posted Date: 4/6/2013 2:30:46 AM | Location : United States

Ask an Expert

Related Discussions:- Multiply the polynomials, Assignment Help, Ask Question on Multiply the polynomials, Get Answer, Expert's Help, Multiply the polynomials Discussions

Write discussion on Multiply the polynomials
Your posts are moderated

Write your message here..

Related Questions

Intergration, any example any example

Differetial eqations, y'-5y= y'-5y=0

Assignment Help, I would like to work on Assignment help in Mathematics I would like to work on Assignment help in Mathematics

Definition of the laplace transform, Definition Assume that f(t) is a ... Definition Assume that f(t) is a piecewise continuous function. The Laplace transform of f(t) is denoted L{ f (t )} and defined by, There is an optional notation for L

Word or term for, An irregular perimeter to the circumference of a circle s... An irregular perimeter to the circumference of a circle such as a protrusion

Hcf and lcm, The HCF & LCM of two expressions are respectively (x+3) and (x... The HCF & LCM of two expressions are respectively (x+3) and (x cube-7x+6). If one is x square+2x-3 , other is? Solution) (x+3) * (x^3-7x+6) = (x^2+2x-3) * y      ( ) (HCF*LCM=

Finding the area of a triangle, Q. Finding the Area of a Triangle? Ther... Q. Finding the Area of a Triangle? There are three commonly used methods to find the area of a triangle. The method you use to find the area depends on the information you kno

Geometry, Given: ??????? is supp. to ??????? ???? ????? bisects ??????? ?... Given: ??????? is supp. to ??????? ???? ????? bisects ??????? ???? ????? bisects ??????? Prove: ??????? is a rt. ?

Compute standard and variance deviation, A firm is manufacturing 45,000 uni... A firm is manufacturing 45,000 units of nuts. The probability of having a defective nut is 0.15 Compute the given i. The expected no. of defective nuts ii. The standard an

What is the sample space for this experiment, A die is thrown repeatedly un... A die is thrown repeatedly until a six comes up. What is the sample space for this experiment? HINT ;A= {6} B={1,2,3,4,5,} Ans: The sample space is = {A, BA, BBA, BBBA, BBBBA.