Question

URGENT PLS...SIMPLE SUM

Answer 1

Question:

$\sf{\dfrac{\alpha}{3\beta} + \dfrac{\beta}{3\alpha}}$

Write in terms of $\alpha + \beta$ and $\alpha \beta$

Solution:

$\sf{=\dfrac{\alpha}{3\beta} + \dfrac{\beta}{3\alpha}}$

$\sf{=\dfrac{(\alpha)²+(\beta)²}{3\alpha \beta}}$

$=$ $\bold{\red{\dfrac{(\alpha+\beta)²-2\alpha \beta}{3\alpha \beta}}}$

Extra information:

$\sf{•\:(a+b)²=a²+b²+2ab}$

$\sf{•\:(a-b)²=a²+b²-2ab}$

$\sf{•\:(a+b)(a-b)=a²-b²}$