Question

Divide by factorisatoion
the expressions (m2-2m-63) ÷(m+7)

Answer 1

ANSWER

m+7=0

So m=-7

In eqn,

7x7-2x7-63

49-14-63

49-77

-28

Answer 2

$\dfrac{m^2-2m-63}{m+7}$ = (m - 9)

Step-by-step explanation:

The given expression:

$\dfrac{m^2-2m-63}{m+7}$

To find, the value of $\dfrac{m^2-2m-63}{m+7}$ = ?

∴ $\dfrac{m^2-2m-63}{m+7}$                ..........(1)

The factorisation of $m^2-2m-63$

= $m^2$ - 9m + 7m - 63

= m(m - 9) + 7(m - 9)

= (m - 9) (m + 7)

Now, equation (1) becomes,

$=\dfrac{(m - 9) (m + 7)}{m+7}$  

= (m - 9)

∴ The value of the given expression = (m - 9)

Thus, $\dfrac{m^2-2m-63}{m+7}$ = (m - 9)