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Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
Rozwiązuj zadania matematyczne, korzystając z naszej bezpłatnej aplikacji, która wyświetla rozwiązania krok po kroku. Obsługuje ona zadania z podstaw matematyki, algebry, trygonometrii, rachunku różniczkowego i innych dziedzin.
The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result! The equation solver allows you to enter your problem and solve the equation to see the result. Solve in one variable or many.
Rewrite 8y^{3}-27 as \left(2y\right)^{3}-3^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right). Polynomial 4y^{2}+6y+9 is not factored since it does not have any rational roots.
Set 4y2 +6y +9 4 y 2 + 6 y + 9 equal to 0 0 and solve for y y. Tap for more steps... y = − 3−3i√3 4,− 3+3i√3 4 y = - 3 - 3 i 3 4, - 3 + 3 i 3 4. The final solution is all the values that make (2y−3)(4y2 +6y+9) = 0 (2 y - 3) (4 y 2 + 6 y + 9) = 0 true.
17 maj 2015 · 8y^3-27 = (2y)^3 - 3^3 =(2y-3)((2y)^2+3(2y)+3^2) =(2y-3)(4y^2+6y+9) based on the difference of cubes identity: m^3-n^3 = (m-n)(m^2+mn+n^2), with m=2y and n=3. Note that (4y^2+6y+9) has no simpler factors with real coefficients.
Just like numbers have factors (2×3=6), expressions have factors ((x+2)(x+3)=x^2+5x+6). Factoring is the process...
