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This binomial is an example of what is called a "difference of squares". This type of binomial is of the form:
a2-b2
This type of binomial can be factored to:
a2-b2 = (a+b)(a-b)
If you multiply these factors together, you will arrive back at the original form a2-b2:
(a+b)(a-b) = a2 - ba + ba - b2 = a2-b2
For you example problem:
4x2-49
"a" is 2x, and "b" is 7, meaning:
4x2-49 = (2x)2-(7)2 = (2x+7)(2x-7)
Thus:
4x2-49 can be factored to (2x+7)(2x-7).
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What is the factor ofsixteen x squared-fortynine y squared?
(4x - 7y)(4x + 7y)
How do you factor 16x squared?
4x times 4x equals 16x2.
Factor expression 16c2 - 49?
16c^2-49 -> (4x-7)(4x+7)
What is the factor for thetrinomial 4x squared -7x -15?
(4x + 5)(x - 3)
How do you factor 4x squared minus 4x plus 1?
(2x-1)(2x-1) = 4x^2 -4x + 1
What does x squared - 4x factor out to?
x(x-4)
Can you factor x squared plus 4x plus 2?
No
How do you factor a polynomial of 4x plus 12x squared plus 16x cubed?
4x(4x^2 + 3x + 1)
Factor expression 16x2 - 25y2?
Remember both 16 & 25 are squared numbers. 16 = 4^2 & 25 = 5^2 Hence we can write (4x)^2 - (5y)^2 Remember two squared terms with a NEGATIVE Between them will factor. ( 4x - 5y)(4x + 5y) Note the difference signs. NNB Two squared terms with a positive (+) between them DOES NOT factor.
What is the factor for 4x squared - 4x plus 2xy -2y?
2(x - 1)(2x + y)
Factor 4x squared plus 4x plus 12?
4(x^2 + x + 3)
Factor 4x squared - 16x plus 40?
No solution in integers.
