Assignment: [tex]\bold{Factor \ Equation: \ 49x^2-81}[/tex]
<><><><><><><>
Answer: [tex]\boxed{\bold{\left(7x+9\right)\left(7x-9\right)}}[/tex]
<><><><><><><>
Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
<><><><><><><>
[ Step One ] Rewrite [tex]\bold{49x^2-81}[/tex]
[tex]\bold{\left(7x\right)^2-9^2}[/tex]
[ Step Two ] Rewrite Equation
[tex]\bold{\left(7x\right)^2-9^2}[/tex]
[ Step Three ] Apply Difference Of Two Squares Formula
Note: [tex]\bold{Difference \ Of \ Two \ Squares \ Formula: \ x^2-y^2=\left(x+y\right)\left(x-y\right)}[/tex]
[tex]\bold{\left(7x\right)^2-9^2=\left(7x+9\right)\left(7x-9\right)}[/tex]
<><><><><><><>
[tex]\bold{\left(7x+9\right)\left(7x-9\right)}[/tex]
<><><><><><><>
[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]
