To solve algebraic equations with variables in both numerator and denominator, multiply both sides by the denominator to eliminate fractions, then rearrange terms to factor the equation and solve for the variable. For the equation P³/(P+P+P) = 6, multiply both sides by 3P to get P³ = 18P, rearrange to P³ - 18P = 0, factor as P(P² - 18) = 0, yielding solutions P = 0, P = 3√2, and P = -3√2. Since P = 0 would make the original denominator zero, the valid solutions are P = 3√2 and P = -3√2.
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Take a look. P * P * P / P + P + P = 6.
Then what's the value of P? So we can write here P to the power 1 * P to the power 1 * P to the power 1 divided by P + P + P = 6.
After that we can write p = 1 + 1 + 1 divided by this 3 p is = 3 p = 6.
After that we can write this equal p to the power q divided by 3 p= 6.
After that we can write p to the power q / 3 p * 3 = 6 * 3. We just uh do times with both side. Then now this three and this three will be cancel out and we can write p = 3 - 1 because this p has 1 power equal 3 * 6 = 18.
So after that we can easily write p = 2 = 18.
After that it will be like roo<unk> over p² = roo<unk> over 18.
Now we can easily say the p value is + minus<unk> / 3<unk>2 because 3<unk>2=<unk> 18. So here we get P P1's value is + 3 <unk>2 and P2 value is - 3 <unk>2.
This is the two value we can get. So now we have to check this answer then we will be trans this values. So we can write the equation was like p * p * p / p + p + p equ= 6. So here just replace this piece value in here. You know it was like 3 - 3 <unk>2 bracket * - 3 <unk>2 * - bracket <unk>3 <unk>2 divided by - 3 <unk>2 + - 3 <unk>2 + - - 3<unk> 3<unk>2 = 6. So after simplifying this equation we can write you know + 3 * 3 <unk>2 * <unk>2 * - 3 <unk>2 / uh from here we can write 3 * bracket - 3 <unk>2 = 6.
After that equation we can write -27 * 4 <unk>2 / -9 * <unk>2 = six. So from here this and this will be cancel out and this this will be cancel out 3 and this will be will be cancel out. So we can write 3 * 4 / 2 this will be cancel out and six.
So we can write 6 = 6. So left hand side equal right hand side is proved.
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