Question

Factorise:-
• (l+m)² - 4lm​

Answer 1

$\begin{gathered}\small\underline{\underline{\text{Given:}}} \end{gathered}$

• (l+m)² - 4lm

$\begin{gathered}\small\underline{\underline{\text{To Find:}}} \end{gathered}$

• The Factorise Of The Following Question:-

$\begin{gathered}\small\underline{\underline{\text{Explanation:}}} \\\end{gathered}$

• Simplify The Given Expression By Using Perfect Square Formula

$\bf {l}^{2} + 2 {l}m + {m}^{2} - 4lm$

• Combine Like Terms

$\: \: \: \: \: \longrightarrow\bf{l}^{2} + (2lm - 4lm) + {m}^{2 } \\ \: \longrightarrow \bf \: {l}^{2} - 2lm + {m}^{2} + {m}^{2} \\ \longrightarrow \bf \: (l - m)^{2}$

• Therefore :(a - b)^{2} ={a}^{2} - 2ab + {b}^{2}

• Therefore The Factorized Form Of Given Expression Is :

$\longrightarrow \sf \: (l - m)^{2}$