Question

18x square - 50(b-c) square
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Answer 1

$\Longrightarrow{\boxed{\bold{Answer:}}}$

$\boxed{\bold{2( 3x + 5b - 5c )( 3x - 5b + 5c )}}$

$\textbf{\underline{Step-by-step explanation :- }}$

⇒18x² - 50( b - c )²

Taking now 2 out as common,

⇒2[ 9x² - 25( b - c )² ]

⇒2[ (3x)² - 5²( b - c )² ]

⇒2[ (3x)² - {5( b - c )}² ]

✍️ ✍️ ✍️ ✍️ ✍️ ✍️ ✍️ ✍️ ✍️

Since a² - b² = ( a + b )( a - b )

⇒2[{3x + 5( b - c )}{3x - 5( b - c )}]

⇒2[{3x + 5b - 5c}{3x - 5b + 5c }]

⇒$\textbf{\underline{2(3x+5b-5c)(3x-5b+5c)}}$

[ Note : When terms come in product then we say that an equation is factorised ]