Question

Sederhanakan bentuk-bentuk pengurangan berikut!
A. 7x/3x - 1/x
B. 5x/8y - x/4y
C. x-5/4 - 2+x/4x
D. 11y+3/4y-1 - y-9/3y+3

Tolong dibantu pls. Dikumpulin bsk. Terimakasih banyak :)

Answer 1

A. 7x/3x - 1/x (jadikan penyebutnya 3x)
= 7x/3x - 3/3x
= (7x-3)/3x

b. 5x/8y - x/4y (jadikan penyebutnya 8y)
= 5x/8y - 2x/8y
= (5x - 2x)/8y
= 3x/8y

c. (x - 5)/4 - (2 + x)/4x (jadikan penyebutnya 4x)
= x(x - 5)/4x - (2 + x)/4x
= (x² - 5x)/4x - (2 + x)/4x
= (x² - 5x - 2 - x)/4x
= (x² - 6x - 2)/4x

d. (11y + 3)/(4y - 1) - (y - 9)/(3y + 3) (jadikan penyebutnya (4y - 1)(3y + 3))
= (11y + 3)(3y + 3)/(4y - 1)(3y + 3) - (y - 9)(4y - 1)/(4y - 1)(3y + 3)
= (33y² + 9y + 33y + 9)/(4y - 1)(3y + 3) - (4y² - 36y - y + 9)/(4y - 1)(3y + 3)
= (33y² + 42y + 9)/(4y - 1)(3y + 3) - (4y² - 37y + 9)/(4y - 1)(3y + 3)
= (33y² + 42y + 9 - 4y² + 37y - 9)/(4y - 1)(3y + 3)
= (29y² + 79y)/(4y - 1)(3y + 3)