a²b⁴ - b²a⁴ can be factored as a²b²(b² - a²) which becomes a²b²(b + a)(b - a). Since the numerator and denominator both have (a + b) and ab the final answer is ab(b - a) = ab² - a²b.

7 0

4 years ago

Find the exact length of the third side. 52 48

oksano4ka [1.4K]

Answer:

<h3>Here in diagram </h3>

this is a Right angled triangle
where
hypontenuse =h=52
Base=b=48

We need to find

perpendicular =p

According to Pythagorean theory

${\boxed{\sf h^2=p^2+b^2}}$

$\qquad\quad {:}\longrightarrow\tt p^2=h^2-b^2$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt {h^2-b^2}$

Substitute the values

$\qquad\quad {:}\longrightarrow\tt p=\sqrt{52^2-48^2}$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt {2704-2304}$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt{400}$

$\qquad\quad {:}\longrightarrow\tt p=20$

8 0

3 years ago