Perform the indicated operations and (4x+1)/(x-7)-4

Question

asked Dec 8, 2024 49.0k views

1 Answer

Eridal · Answer 1 · 2024-12-15T06:15:26+0000

Hello!

Answer:

$\Large \boxed{\sf (-27 )/(x-7)}$

Explanation:

→ We want to simplify:

$\sf (4x+1)/(x-7) -4$

◼ Convert 4 in a fraction with denominator = x - 7:

$\sf (4x+1)/(x-7) -(4)/(1)$

$\sf (4x+1)/(x-7) - (4(x-7))/(1(x-7))$

$\sf (4x+1)/(x-7) - (4x-28)/(x-7)$

◼ Subtract the two fractions:

$\sf (4x+1 -4x-28 )/(x-7)$

◼ Simplify the fraction:

$\boxed{\sf (-27 )/(x-7)}$