Respuesta :

Question:

  • simplify : m√p + n√p -√p

Answer:

  • (m+n-1)√p

Step-by-step explanation:

  • we'll arrange the equation in an order

↝m√p + n√p -√p

  • now, we'll isolate the common variable in the equation

↝√p(m+n-1)

  • now, we'll match our answer with the given options

↝(m+n-1)√p = √p(m+n-1)

↝(m-n+1)√p ≠ √p(m+n-1)

↝(m-n-1)√p ≠√p(m+n-1)

hence, option 1st is correct ✓

Option A

Let's verify

[tex]\\ \rm\Rrightarrow (m+n-1)\sqrt{p}[/tex]

  • a(b+c)=ab+ac

[tex]\\ \rm\Rrightarrow m\sqrtp}+n\sqrt{p}-\sqrt{p}[/tex]

Hence verified