If a+b+c=1 and a^3+b^3+c^3=16 solve the value of the following expression: ab(a+b)+bc(b+c)+ca(c+a)+2abc

Which rational number could be graphed between -4 and -5

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap

Present age of man is 45 years, 5 years back his age was 4 times age of his son what is present age of his son?