Question

Solve the following in the methods of HCF , DOTS and Trinomial

Answer 1

The first equation is

`x^2-2x-15`

The expression can be factorized as follows:

`\begin{gathered} x^2-5x+3x-15 \\ =x(x-5)+3(x-5) \\ =(x-5)(x+3) \end{gathered}`

The second equation is

`25f^2-9m^2`

The expression is factorized as follows

`\begin{gathered} 25f^2-9m^2 \\ =5^2f^2-3^2m^2 \\ =(5f)^2-(3m)^2 \\ =(5f-3m)(5f-3m) \end{gathered}`

The third expression is

`2x^2+7x+6`

The expression is factorized as follows:

`\begin{gathered} 2x^2+7x+6 \\ =2x^2+4x+3x+6 \\ =2x(x+2)+3(x+2) \\ =(2x+3)(x+2) \end{gathered}`