Question

Can u solve and show me the steps pls

Answer 1

`(-8y)/(y-3)`

Explanation:

`\sf (49 - y^2)/(6y^2 +42y)=(7^2-y^3)/(6y^2 +6*7y)\\\\`

`\sf =((7+y)(7-y))/(6y(y + 7))=((7+y)(7-y))/(6y(7+y))\\\\\\=(7-y)/(6y)`

y² - 10y + 21

sum = -10

Product = 21

Factors = (-7) , (-3) {(-7)*(-3) = 21 & (-7)+ (-3) = -10}

y² - 10y + 21 = y² - 7y - 3y + 21

= y(y - 7) - 3(y - 7)

= (y - 7) ( y - 3)

`\sf (49 -y^2)/(6y^2 + 42y)*(48y^3)/(y^2 - 10y + 21)=(7-y)/(6y)*(48y^3)/((y-7)(y-3))\\\\\\`

`\sf = ((-1)(y-7))/(6y)*(48y^3)/((y-7)(y-3))\\\\\\=((-1)*8y^2)/(y-3)\\\\\\=(-8y^)/(y-3)`