Question

Simplify the following expressions (10)

Answer 1

The given expression is,

`(3y^2-1)(2y^2-5y+8)`

Using distributive property( A (B+C)=AB+BC),

`(3y^2-1)(2y^2-5y+8)=3y^2(2y^2-5y+8)-1(2y^2-5y+8)`

Again using distributive property in RHS of above equation,

`\begin{gathered} (3y^2-1)(2y^2-5y+8)=3y^2*2y^2+3y^2*(-5y)+3y^2*8)-2y^2+5y-8 \\ (As\text{ }x^ax^b=x^(a+b)) \\ =6y^4-15y^3+24y^2-2y^2+5y-8 \\ =6y^4-15y^3+22y^2+5y-8 \end{gathered}`

Therefore, the simplified expression is,

`6y^4-15y^3+22y^2+5y-8`