College Prep Algebra 58
Try to further simplify Verify substitution\x2y=2x5,\xy=3;Simplify (x^5y^3)/ (x^4y^2) x−5 y−3 x−4 y−2 x 5 y 3 x 4 y 2 Simplify the numerator Tap for more steps Rewrite the expression using the negative exponent rule b − n = 1 b n b n = 1 b n 1 x 5 y − 3 x − 4 y − 2 1 x 5 y 3 x 4 y 2
Simplify (x/3 y/5)^3-(x/3-y/5)^3
Simplify (x/3 y/5)^3-(x/3-y/5)^3-= 2 #3 # x2 # x5 Group factors with common bases = 6x7 Simplify Practice 4 Use the product rule to simplify 15y3213y42 ExamplE 5 Simplify a 1x2y21x3y22 b 1a7b4213ab92 Solution a 1x2y21x3y22 = 1x2 # x32# 1y1 # y22 Group like bases and write y as y1 = x5 # y3 or x5y3 Multiply b 1a7b4213ab92 = 11 # 32# 1a7 # a12# 1b4 # b92Go Related » Graph » Number Line » Examples » Our online expert tutors can answer this problem Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
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#x^5y^5# First note that if #x=y# then #x^5y^5 = 0# Hence we can deduce that #(xy)# is a factor #x^5y^5 = (xy)(x^4x^3yx^2y^2xy^3y^4)# We can factor the remaining quartic by making use of its symmetry, expressing it in terms of a quadratic in #(x/yy/x)# as follows Note that #(x/yy/x)^2 = x^2/y^22y^2/x^2# So we find #x^4x^3yxSee the answer See the answer See the answer done loadingExplain why x 3 x 5 x 3 x 5 is x 8 x 8, and not x 15 x 15 Self Check ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section
3x2y=5 Geometric figure Straight Line Slope = 3000/00 = 1500 xintercept = 5/3 = yintercept = 5/2 = Rearrange Rearrange the equation by subtracting what is Solution =》 X/3 Y/5^3 X/3 Y/5^3 =》 X/3Y/5X/3Y/3^3 3 X/3Y/5 X/3Y/5 X/3Y/5X/3Y/5 =》 2x/3^3 3 X^2/9Y^2/25 2x/3 =》8x^3/27 x^2/3 2y^2/252x/3 =》8x^3/272x^3/96xy^2/75The reciprocal of the number associated with the radical is the power needed Examples #root3(5)=5^(1/3)# #root7(2)=2^(1/7)# If the radicand (number under the radical sign) has a power in it, the same method still works
Simplify (x/3 y/5)^3-(x/3-y/5)^3のギャラリー
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24 x 7 y 3 3 24 x 7 y 3 3 The fraction in the radicand cannot be simplified Use the Quotient Property to write as two radicals 24 x 7 3 y 3 3 24 x 7 3 y 3 3 Rewrite each radicand as a product using perfect cube factors 8 x 6 3 x 3 y 3 3 8 x 6 3 x 3 y 3 3 Rewrite the numerator as the product of two radicals (2 x 2) 3 3 3 x 3 y 3 3Simplify (x3)(x5) Expand using the FOIL Method Tap for more steps Apply the distributive property Apply the distributive property Apply the distributive property Simplify and combine like terms Tap for more steps Simplify each term Tap for more steps Multiply by
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