Question

what are the factors of a^2 + ab +bc + ca​

Answer 1

Factors of a² + ab + bc + ca

= a( a + b ) + c( b + a )

= a( a + b ) + c( a + b )

= ( a + b )( a + c )

Therefore.,

Factors of a² + ab + bc + ca = ( a + b )( a + c )

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Answer 2

$\bf{\underline{\underline{\bigstar\bigstar\: Equation :}}}$

$\:$

• $\footnotesize{ a^2 + ab + bc + ca}$

$\:$

$\bf{\underline{\underline{\bigstar\bigstar\: To \: Find : }}}$

$\:$

• $\footnotesize{ Factor \: of \: equation }$

$\:$

$\bf{\underline{\underline{\bigstar\bigstar\: Solution :}}}$

$\:$

$\footnotesize{ a^2 + ab + bc + ca}$

$\footnotesize{= a(a + b) + c(b + a)}$

$\footnotesize{= (a + b) + (c + a)}$

$\:$

$\bold{Answer = (a + b) + (c + a)}$