Question

factorise the following trinomial of the form X square + bx + c:-
m²-4m-5​

Answer 1

Step-by-step explanation:

m²-4m-5

=m²-5m+m-5

=m(m-5)+1(m-5)

=(m+1)(m-5)

hope it will help you!!!

Answer 2

$\tt \huge \underline \green{answer}$

$\bf \huge{given}$

$\bf \huge \star \red{ {ax}^{2} + bx + c \: stadard \: form \: of \: quadratic \: equation}$

$\bf \huge \star \red{ {m}^{2} - 4m - 5}$

Factorisation:-

$\bf \purple{ \implies {m}^{2} - 4m - 5}$

Splitting middle term

$\bf \purple{ \implies {m}^{2} + m - 5m - 5}$

$\bf \purple{ \implies \: m(m + 1) - 5(m + 1)}$

$\bf \purple{ \implies(m + 1)(m - 5)}$

$\bf \pink{ \implies \: value \: of \: m \: is \: - 1 \: and \: 5 \: }$