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Problem Solution
Solve for k cube root of k+4 = cube root of 2k+3 Solution: Step 1 Cube both sides to eliminate the cube roots: $(\sqrt[3]{k + 4})^3 = (\sqr…
Solve the System of Inequalities y<=-3x+1 y>=-1/4… Solution: Step 1: Merge the $x$ term with the coefficient $\frac{1}{4}$ in the inequality. …
Simplify ((2x^3)^2(3y^4)^3)/(12x^4y^5)-4x^2y^7 Solution: Step 1: Simplify each term individually. Step 1.1: Work on simplifying the …
Simplify ( cube root of 625x^6y^4)/( cube root of… Solution: Step:1 Merge the cube roots $\sqrt[3]{625 x^{6} y^{4}}$ and $\sqrt[3]{5 x y}$ int…
Factor (b-c)^3+(c-a)^3+(a-b)^3 Solution: Step 1: Apply the Binomial Theorem to each cubic term. $$(b-c)^3 = b^3 - 3b^2c …
Find the Product (3a-b+2c)^2 Solution: Step 1 Express $(3a - b + 2c)^2$ as $(3a - b + 2c)(3a - b + 2c)$. Step 2 Dis…
Simplify the Radical Expression 5/(3- square root… Solution: Step 1: Rationalize the denominator by multiplying the expression $\frac{5}{3 -…
Simplify (a^2-b^2)/(a^2-a+ab-b) Solution: Step 1: Apply the difference of squares identity to the numerator, $a^{2} - b^{…
Solve for t 7/12t-1/4=5/6 Solution: Step 1: Merge the term with $t$ and the fraction. $\frac{7t}{12} - \frac{1}{4} …
Find the Excluded Values ((x^2-16)/(x-2))÷((x^2+3… Solution: Step 1: Determine the value of $x$ for which the denominator of $\frac{x^{2} - …

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