0
C^ (2) - D^(2) Factors to (C -D )(C + D)
If we apply FOIL to these bracketed terms. (C -D )(C + D), then we have
F ; C^(2)
O = CD
I = -DC
L = -D^(2)
'Stringing out'
C^(2) + CD - DC - D^(2)
NB Remember CD= DC ; just like 2 x 3 = 6 & 3 x 2 =6
Hence
C^(2) + CD - CD _ D^(2)
Adding terms we have C^(2) - D^(2)
NB THe (+)CD - CD = 0
This is the inverse function, done to show how C^(2) - D^(2) factors.
NB Remember two squared terms with a negative(-) between WILL Factor.
However, two squared with a positive(+) between them does NOT factor.
As a n example, take the Pythagorean Eq'n.
h^(2) = x^(2) + y^(2)
This does NOT factor .
However,
h^(2) - y^(2) = x^(2)
Does factors to
(h - y)(h + y) = x^(2)
Hope that helps!!!!!
d
What else can I help you with?
What is the greatest common factor of the terms 14c2d and 42c3d?
14c^(2)d &(+) 42c^(3)d This factors to 14c^(2)d(1 + 3c) Hence the GCF is 14c^(2)d Method We have '14' & '3 X 14 = 42'. So '14' is a common factor We have c^(2) = c X c & c^(3) = c X c X c . Sp c^(2) is a common factor. Finally we have 'd' & 'd' . So 'd' is the final common factor. Combining 14 x c^(2) X d = 14c^(2)d as the GCF .
D squared divided by d-c plus c squared divided by c-d?
d2/(d - c) + c2/(c - d) = d2/(d - c) - c2/(d - c) = (d2 - c2)/(d - c) = (d + c)(d - c)/(d - c) = d + c
How do you graph a function with no domain?
You can't.If f: D --> C where D is the domain of the function f and C is its codomain and D = Ø, then there are no d Є D. Therefore there are no c Є C : f(d) = c. Thus there are no ordered pairs (d, c) to graph.
Why might it be useful to know the linear factors of a polynomial function?
It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.
How do you do the divide out common factors?
Suppose you have a fraction in the form a/b and suppose c is a common factor of a and b.c is a factor of a so that a = c*xc is a factor of b so that b = c*ywhere x and y are integers.And so a/b = cx/cy = x/y.The process is as follows:find a common factor, c, of the numerator (a) and the denominator (b).the new numerator is the old numerator divided by the common factor that is, x = a/c;the new denominator is the old denominator divided by the common factor that is, y = b/c;the new fraction is x/y.
How would you factor the polynomial C2 - D2?
(c + d)(c - d)
How do you factor c to the second power plus 2cd plus d to the second power?
(c + d)(c + d)
What is the greatest common factor of the terms 14c2d and 42c3d?
14c^(2)d &(+) 42c^(3)d This factors to 14c^(2)d(1 + 3c) Hence the GCF is 14c^(2)d Method We have '14' & '3 X 14 = 42'. So '14' is a common factor We have c^(2) = c X c & c^(3) = c X c X c . Sp c^(2) is a common factor. Finally we have 'd' & 'd' . So 'd' is the final common factor. Combining 14 x c^(2) X d = 14c^(2)d as the GCF .
Factor ac plus ad plus bc plus bd?
a(c+d)+b(c+d)=(a+b)(c+d)
Can You Factor 5c-5d?
yes, 5(c-d) this means 5 times c-d
How do you factor the polynomial c2-d2?
0
In general how would you factor the polynomial C2 - D2?
There is a formula for the difference of squares. In this case, the answer is (C + D)(C - D)
Which statement is NOT true about the number 0x9 equals 0 A. 0 is a factor B. 9 is a factor C 0 is the product D. 9 is the only factor?
D is the choice that is not true.
What is the factor tree of 155?
a b c d e f g
Choose the correct statement a 10 is a factor of 72 b 72 is a factor of 10 c 8 is a factor of 40 d 40 is a factor of 8?
8 is a factor of 40
Which number is a factor of 21 but not a multiple of 7 a.2 b. 4 c. 5 d. 3?
d. 3
What is the factor of 15cd?
3 x 5 x c x d = 15cd
