Question

factorise the following expression:-(x sq +25x+144)​

Answer 1

${\bold{\huge{\underline{\blue{\sf{Given:}}}}}}$

${\bold{\sf{f(x)=x²+25x+144}}}$

${\bold{\huge{\underline{\pink{\sf{To \: Find:}}}}}}$

${\bold{\sf{Factorise \: \: f(x)}}}$

${\bold{\huge{\underline{\green{\sf{Solution:}}}}}}$

${\bold{\sf{f(x)=x²+25x+144}}}$

${\bold{\sf{f(x)=x²+9x+16x+144}}}$

${\bold{\sf{f(x)=x(x+9)+16(x+9)}}}$

${\boxed{\bold{\sf{f(x)=(x+9)(x+16)}}}}$

${\bold{\underline{\red{\sf{Answer:}}}}}$

${\boxed{\sf{x²+25x+144 \: = \: (x+9)(x+16)}}}$