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In order to factor the sum of the cubes, we need to use this form a³ + b³ = (a + b)(a² - ab + b²). Let a³ = 27x³ and b³ = 343y³. Then, a = 3x and b = 7y. Perform substitution of these terms for the form, and we obtain:
27x3 + 343y3 = (3x + 7y)(9x2 - 21xy + 49y2)
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What is the length of the shadow cast by a 63 foot high pole if a 27 foot high pole casts an 18 foot shadow?
If a 27 ft tall pole casts an 18 foot shadow, a 63 ft tall pole casts an x foot shadow.Put 27/18 and 63/x.Cross multiply, get 27x=1134Divide by 27 on both sides, a 63 foot tall pole casts a 42 foot long shadow.
How many square feet will a yard of river rock cover?
The answer depends on the depth of the layer.1 yard of river rock actually means "1 cubic yard" of river rock.A cubic yard is 3 ft x 3 ft x 3 ft = 27 cubic ftIf you want a layer that is 3 ft deep, it would cover 9 square ft (i.e. 3 ft x 3 ft = 9 sq ft)If you want a layer that is 4 inches deep, it would cover 81 square ftx^2 * (4"/12") = 27x^2 = 27 * 12/4 = 81x = sqrt (81)x = 99 ft x 9ft = 81 sf
What is the factored form of 27x cubed minus eight?
27X^3-8 = 0 27X^3 = 8 X^3 = 8/27 X = cubic root of 8/cubic root of 27 = 2/3
How do you factor the expression 27x cubed plus 8?
the answer is (3x-2)(9x squared+6x+4)
What is 27x squared -90x plus 27 factored to?
27x2 - 90x + 27 = 9*(3x - 1)*(x - 3)
What is the answer to 27x cubed- 8y cubed?
19
Factor 24 cubed plus 27x squared - 8x - 9?
(8x + 9)(3x^2 - 1)
Factor 24x cubed plus 27x squared - 8 x - 9?
I also need to know the answer to this problem. Can anyone answer it?
What is 10x plus 22-37x plus 1?
It is: 23-27x when simplified
Factor 3x2 plus 27x plus 60?
3x2 + 27x +60
What is the cubed root of 27x to the 12th power?
cube root of 27 = 3, so 3^12 = 531 441 * * * * * If the question is about 27x, rather than 27, the answer is as follows: cuberoot(27x12) = (27x)12/3 = (27x)4 = 531441x4
What is 3x cubed times 3x cubed?
Your question is ambiguous. (3x)^3 times (3x)^3 = 27x^3 times 27x^3 = 729x^6 or, if you meant 3x^3 times 3x^3 = 9x^6
What is the slope-intercept form of 9 plus 9y equals 27x?
9 + 9y = 27x -9 -9 9y = 27x - 9 9y/9 = 27x/9 - 9/9 y = 3x -1
Factor 9x cubed plus 27x squared -90x?
Step 1: Divide by 9x: 9x (x2 + 3x - 10) = 9x(x + 5)(x - 2)
