Question

simplify(3xy - 4yz - 2zx) - (2xy - 5yz + 3zx)​

Answer 1

= 3xy - 4yz - 2zx - (2xy) - (-5yz) - (+ 3zx)

= 3xy - 4yz - 2zx - 2xy + 5yz - 3zx

Writing like terms together

= 3xy - 2xy - 4yz + 5yz - 2zx - 3zx

= xy + yz - 5zx

Answer 2

$\mathfrak{\large{\underline{\underline{Answer:}}}}$

xy + yz - 5zx

$\mathfrak{\large{\underline{\underline{Step-by-step \:explanation:}}}}$

$\textbf{\small{\underline{By column method : }}}$

Refer the attachment

$\rule{300}{1.5}$

$\textbf{\small{\underline{By Horizontal method : }}}$

$\rm{\longrightarrow} \: (3xy - 4yz - 2zx) - (2xy - 5yz + 3zx) \\ \rm{\longrightarrow} \:\gray{Change \: the \: Signs} \\ \rm{\longrightarrow} \:(3xy - 4yz - 2zx) - 2xy + 5yz - 3zx \\ \rm{\longrightarrow} \:3xy - 2xy - 4yz + 5yz - 2zx - 3zx \\ \rm{\longrightarrow} \:\red{xy + yz - 5zx}$

$\therefore$ Answer is xy + yz - 5zx