Question

Evaluate the following product using the specific formula
$(y-\frac{3}{4})(y-\frac{4}{3})$

• A. $y^2–\frac{25}{12}y-1$
• B. $y^2+\frac{25}{12}y-1$
• C. $y^2+\frac{12}{25}y+1$
• D. $y^2–\frac{25}{12}y+1$

Answer 1

The correct option is D $y^2–\frac{25}{12}y+1$

$(x-a)(x-b)=x^2-(a+b)x+ab$

$(y-\frac{3}{4})(y-\frac{4}{3})=y^2-(\frac{3}{4}+\frac{4}{3})y+\left(\frac{3}{4}\right)\left(\frac{4}{3}\right)$

= $y^2–\frac{25}{12}y+1$