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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
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.
verify 4(sin^4 30^0+cos60^0 )-3(cos^2 ?45?^0-sin^2 90^0 )=2
Utilizes the definition of the limit to prove the given limit. Solution In this case both L & a are zero. So, let ε 0 so that the following will be true. |x 2 - 0|
1.)3 3/8 divided by 4 7/8 plus 3 2.)4 1/2 minus 3/4 divided by 2 3/8
How can i get a better understanding of logistics without having a degree on logistics and knowledge of it? Simply, in a very basic form..
Sketch several trajectories for the system, x 1 ' = x 1 + 2x 2 x 2 ' = 3x 1 + 2x 2
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if one side of a square is increased 4 inches and an adjacement side is multiplied by 4, the perimeter of the resulting rectangle is 3 times the perimeter of the square. find the s
2 1/3 + 3 3/8
2*9
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