$3x\ +\ 5y\ -\ 3x\ -\ 5y$  

 $4m\ -\ 3n\ +\ 5m\ -\ 2n$  

 $6p\ -\ 3q\ -\ 3p\ +\ 3q$  

 $a\ -\ 2b\ +\ 5a\ +\ 3b$  

$5p^3\ \cdot\ 8p^2\ =\ 40\ p^6$

$3\ x^2y\ \cdot\ 5\ xy^2\ =\ 15\ x^3y^3$

$5m^4\ \cdot\ 4m^3\ \cdot\ 3m^2\ =\ 60\ m^{24}$

$-2a^2\ \cdot\ 3a^2\ \cdot\ 5a^2\ =\ 30\ a^8$

$4m^2\ -\ 6n^3\ =\ 7m^2\ -\ \left(3m^2\ +\ 6n^3\right)$

$4p^5q^3\ \cdot\ 5p^3q^2\ =\ 2p^2q\ \cdot\ 10p^6q^4$

$5\ x^4y^2z^5\ \cdot\ 2\ x^3y^5z^2\ =\ 10\ x^7y^7z^7$

$15\ a^4b^7c^8\ =\ 3\ a^2b^5c^3\ \cdot\ 5\ a^2b^2c^4$

 $16x^2\ -\ 9y^2\ =\ \left(4x+3y\right)\left(3x-4y\right)$ 

 $\left(5m+4n\right)\left(5m-4n\right)=25m^2\ -\ 16n^2$ 

 $a^8\ -\ b^9\ =\ \left(a^4-b^3\right)\left(a^4+b^3\right)$ 

 $\left(8p+6q\right)\left(8q-6p\right)=64p^2\ -\ 36q^2$ 

$\left(3a+2b\right)^2=9a^2\ +\ 12ab\ +\ 4b^2$

$\left(5x-4y\right)^2=25x^2-20xy+16y^2$

$64p^2+96pq+36q^2=\left(8p+6q\right)^2$

$144m^2-240mn+10n^2=\left(12m-10n\right)^2$

 $\left(x+5\right)\left(x-6\right)=x^2+x-30$ 

 $\left(m-9\right)\left(m+5\right)=m^2+4m-45$ 

$p^2+6p+5=\left(p+2\right)\left(p+3\right)$

 $z^2+9z+20=\left(z+4\right)\left(z+5\right)$ 

$4a^2+12ab+6b^2=\left(2a+3b\right)^2$

$25x^2-16y^2=\left(4y+5x\right)\left(5x-4y\right)$

$\left(4m-3n\right)^2=16m^2-24mn-9n^2$

$\left(p-4\right)\left(p-6\right)=p^2-10p-24$