the greatest common factor of 2c squared times 2c is 2c
(3a - 2c)(b - d)
(2a + b)(2c + d)
To simplify the expression (4bx^2c), you can look for common factors or terms to combine, but in this case, there are no like terms to combine. Therefore, the expression is already in its simplest form. If there are specific values for (b), (x), or (c), you could substitute those in for further simplification. Otherwise, (4bx^2c) remains as is.
The GCF is 2c.
To find three odd numbers that add up to 50, we can set up an equation where x, y, and z are the three odd numbers. Since odd numbers are always in the form of 2n+1, where n is an integer, we can represent the three odd numbers as x=2a+1, y=2b+1, and z=2c+1. Therefore, the equation becomes (2a+1) + (2b+1) + (2c+1) = 50. Simplifying the equation, we get 2(a+b+c) + 3 = 50. Since 3 is odd, we cannot express it as the sum of three odd numbers.
48 http://www57.wolframalpha.com/input/?i=GCD%28240+%2C+672%29
To balance the equation 4H2 + 2C, we need to adjust the number of atoms on each side of the equation. Adding a coefficient of 2 in front of C on the left side will balance the carbon atoms. The balanced equation will be 4H2 + 2C2.
You must mean, either,(1) sec2 x = sec x + 2, or(2) sec(2x) = sec x + 2.Let's first assume that you mean:sec2 x = sec x + 2;whence,if we let s = sec x, we have,s2 = s + 2,s2 - s - 2 = (s - 2)(s + 1) = 0, ands = 2 or -1; that is,sec x = 2 or -1.As, by definition,cos x = 1/sec x ,this means thatcos x = ½ or -1.Therefore, providing that the first assumption is correct,x = 60°, 180°, or 300°; or,if you prefer,x = ⅓ π, π, or 1⅔ π.Now, let's assume, instead, that you mean:sec(2x) = sec x + 2;whence,1/(cos(2x) = (1/cos x) + 2.If we let c = cos x,then we have the standard identity,2c2 - 1 = cos (2x); and,thus, it follows that1/(cos(2x) = 1/(2c2 - 1)= (1/c) + 2 = (1 + 2c)/c.This gives,1/(2c2 - 1) = (1 + 2c)/c;(2c2 - 1)(2c + 1) = 4c3 + 2c2 - 2c - 1 = c; and4c3 + 2c2 - 3c - 1 = (c + 1)(4c2 - 2c - 1) = 0.As our concern is only with real roots,c = cos x = -1; and,therefore, providing that the second assumption is correct,x = 180°; or,if you like,x = π.
-((3c - 4)(3c + 4)(2c - 5)(2c + 5))
24c2 + 96c + 90 = 6*(4c2 + 16c + 15) = 6*(2c + 3)*(2c + 5)
(b + 2c)(b - c)
4ac + 2ad + 2bc +bd = 2a*(2c + d) + b*(2c + d) = (2c + d)*(2a + b)
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(a + b)(b - 2c)
(a + b)(b - 2c)
(2a + b)(2c + d)
(3a - 2c)(b - d)