Question

When simplifying a^2+3a over a^3-2a^2-15a, what are the term(s) that can be cancelled

Answer 1

Answer:

a and (a+3)

Step-by-step explanation:

We have the following expression and we will simplify it and see which terms can be cancelled out:

$\frac {a^2 + 3a} { a^3 - 2a^2 - 15a }$

Now factoring both the numerator and the denominator to get the like terms which can then be cancelled out.

$\frac {a^2 + 3a} {a^3 - 2a^2 - 15a } = \frac { a ( a + 3 ) }{a ( a - 5 )( a + 3 )}$

$a$ and $(a+3)$ are the common terms so they are cancelled and we are left with $\frac{1}{(a-5)}$.

Answer 2

Answer:

a(a+3) are the terms which can be cancelled.

Step-by-step explanation:

In this question if we factorize both the expressions then we can get the common factors which can be cancelled.

So first we factorize a²+3a = a( a+3 )

Now the second expression $a^{3}-2a^{2}-15a$

⇒$a(a^{2}-2a-15)$

⇒$a(a^{2}-5a+3a-15)$

⇒$a\left \{ a(a-5))+3(a-5)) \right \}$

⇒$a(a+3)(a-5)$

Now it is clear to us that factors a(a+3) are the common factors that can be cancelled.