Question 117134
If {{{f(x)=3x ^2+2}}}, then what is {{{f (a+b) }}}?

Substitute {{{x}}} with {{{a+b}}}:


{{{f(a+b)=3(a+b)^2+2}}}

{{{f(a+b)=3(a^2 + 2ab +b^2)+2}}}

{{{f(a+b)=3a^2 + 6ab + 3b^2 + 2}}}
	
{{{f(a+b)=3(a^2 + b^2 ) + 2(3ab + 1)}}}