To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4x² and 15y⁴ is 60x²y⁴. Multiply times . Multiply times .
Because and have the same denominator, add them by adding their numerators.
Multiply
26.)
Add the numerators since they have same denominator.
Combine like terms
Cancel out 2x+1 in both the numerator and denominator.
27.)
Expand
Multiply
Combine like terms
28.)
Subtract the numerators since the denominators are the same.
Multiply the Multiplications
Combine like terms
Factor expressions to be factored
Then cancel both terms.
29.)
Solve by factoring annd simplifying exponents and expression
Answers & Comments
Answer:
Hey!
24.)![\\ \boxed{ \frac{x(2x - 3){(x - 4)}^{2} }{(x - 3)(x + 2) {(x - 2)}^{2} } } \\ \boxed{ \frac{x(2x - 3){(x - 4)}^{2} }{(x - 3)(x + 2) {(x - 2)}^{2} } }](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5Cboxed%7B%20%5Cfrac%7Bx%282x%20-%203%29%7B%28x%20-%204%29%7D%5E%7B2%7D%20%7D%7B%28x%20-%203%29%28x%20%2B%202%29%20%7B%28x%20-%202%29%7D%5E%7B2%7D%20%7D%20%7D)
25.)![\\ \boxed{\frac{{75y}^{8} + {32x}^{5} }{ {60x }^{2} {y}^{4}} } \\ \boxed{\frac{{75y}^{8} + {32x}^{5} }{ {60x }^{2} {y}^{4}} }](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5Cboxed%7B%5Cfrac%7B%7B75y%7D%5E%7B8%7D%20%2B%20%20%7B32x%7D%5E%7B5%7D%20%7D%7B%20%7B60x%20%20%7D%5E%7B2%7D%20%7By%7D%5E%7B4%7D%7D%20%7D)
26.)![\boxed{1} \boxed{1}](https://tex.z-dn.net/?f=%5Cboxed%7B1%7D)
27.)![\\ \boxed{ \frac{10xy - 7y - 5x}{2xy} } \\ \boxed{ \frac{10xy - 7y - 5x}{2xy} }](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5Cboxed%7B%20%5Cfrac%7B10xy%20-%207y%20-%205x%7D%7B2xy%7D%20%7D)
28.)![\\ \boxed{x+y} \\ \boxed{x+y}](https://tex.z-dn.net/?f=%5C%5C%20%5Cboxed%7Bx%2By%7D)
29.)![\\ \boxed{\frac{a}{12} + \frac{9}{20} - \frac{7}{10a} + \frac{1}{ {8a}^{2} }} \\ \boxed{\frac{a}{12} + \frac{9}{20} - \frac{7}{10a} + \frac{1}{ {8a}^{2} }}](https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Cboxed%7B%5Cfrac%7Ba%7D%7B12%7D%20%20%2B%20%20%5Cfrac%7B9%7D%7B20%7D%20%20-%20%20%5Cfrac%7B7%7D%7B10a%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B%20%7B8a%7D%5E%7B2%7D%20%7D%7D%20)
Step-by-step explanation:
24.)![\frac{ {x}^{2} - 8x + 16}{ {3x}^{2} - 12} \times \frac{ {6x}^{2} - 9x }{ {x}^{2} - 5x + 6 } \\ \frac{ {x}^{2} - 8x + 16}{ {3x}^{2} - 12} \times \frac{ {6x}^{2} - 9x }{ {x}^{2} - 5x + 6 } \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%20-%208x%20%2B%2016%7D%7B%20%7B3x%7D%5E%7B2%7D%20%20-%2012%7D%20%20%5Ctimes%20%20%5Cfrac%7B%20%7B6x%7D%5E%7B2%7D%20-%209x%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%205x%20%2B%206%20%7D%20%20%5C%5C%20)
25.)![\frac{ {10x}^{2} {y}^{4} }{ {8x}^{4} } + \frac{ {16x}^{3} {y}^{2} }{ {30y}^{6} } \\ ™ \frac{ {10x}^{2} {y}^{4} }{ {8x}^{4} } + \frac{ {16x}^{3} {y}^{2} }{ {30y}^{6} } \\ ™](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B10x%7D%5E%7B2%7D%20%7By%7D%5E%7B4%7D%20%20%7D%7B%20%7B8x%7D%5E%7B4%7D%20%7D%20%20%2B%20%5Cfrac%7B%20%7B16x%7D%5E%7B3%7D%20%7By%7D%5E%7B2%7D%20%20%7D%7B%20%7B30y%7D%5E%7B6%7D%20%7D%20%5C%5C%20%20%E2%84%A2)
26.)
27.)![\\ \frac{6y - 5}{2y} + \frac{4x - 7}{2x} \\ \frac{6y - 5}{2y} + \frac{4x - 7}{2x}](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5Cfrac%7B6y%20-%205%7D%7B2y%7D%20%20%2B%20%20%5Cfrac%7B4x%20-%207%7D%7B2x%7D%20)
28.)![\\ \frac{ {x}^{2} - 4 }{x - y} - \frac{ {y}^{2} - 4}{x - y} \\ \frac{ {x}^{2} - 4 }{x - y} - \frac{ {y}^{2} - 4}{x - y}](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20-%204%20%7D%7Bx%20-%20y%7D%20%20-%20%20%5Cfrac%7B%20%7By%7D%5E%7B2%7D%20%20-%204%7D%7Bx%20-%20y%7D%20)
29.)![\\ \frac{ {a}^{2} + 6a9 }{12a} - \frac{ {2a}^{2} - 2a - 5 }{ {40a}^{2} } \\ \frac{ {a}^{2} + 6a9 }{12a} - \frac{ {2a}^{2} - 2a - 5 }{ {40a}^{2} }](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5Cfrac%7B%20%7Ba%7D%5E%7B2%7D%20%2B%206a9%20%7D%7B12a%7D%20%20-%20%20%5Cfrac%7B%20%7B2a%7D%5E%7B2%7D%20-%202a%20-%205%20%7D%7B%20%7B40a%7D%5E%7B2%7D%20%7D%20)
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#BrainlyChallenge2021
Answer:
24.) =ײ+7÷׳-12
25.) 23x²y⁴/2×+10x⁴y²
26.)5+8׳-6+1x²
27.)9y²-2+ײ
28.)y²x³-8ײ-3
29.)2a+3a²-4a³×-8
Step-by-step explanation:
hopefully it helps
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I'm sure it's correct.
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even thanks