Question 187324
Factoring completely:
5x^8 – 1280 Could the answer be: 
= 5(x^4 + 16)(x^4 -16)
= 5(x^4+16)(x^2+4)(x+2)(x-2)

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2x²(p+q³) – (p + q³) 
= (p+q^3)(2x^2-1)
= (p+q^3)(sqrt(2)x -1)(sqrt(2)x + 1)
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Simplify: (6+ 1/3)/(4- 2/9) 
= (19/3) / (34/9) 
= (19/3)*(9/34)
= (19)*(3/34)
= 57/34
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Solve the problem:
The perimeter of a rectangle is 62m. If the width were doubled and the length were increased by 21m, the perimeter would be 120m. What are the length and width of the rectangle?
Equations:
L + W = 31
(L+21) + 2W = 60
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Rearrange:
L + W = 31
L +2W = 39
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Subtract 1st from 2nd to solve for "w":
W = 8 meters
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Substitute to solve for "L
L + 8 = 31
L = 23 meters

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Solve the equation:
3/y = y/(Sy-12)
Note: Did you mean to put "S" in the equation? 
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Subtract. Simplify if possible.
(2x+5)/(x²+8x+15) – (x+2)/(x²+8x+15) 
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The denominators are the same ; combine the numerators over the denominator:
[2x+5 - (x+2)]/[(x+3)(x+5)]

= [x+3]/[(x+3)(x+5)]

= 1/(x+5)
You are correct.
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Cheers,
Stan H.






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