Simplify the expression

Question

(4x3)2 + x3 (x3+2x) +3x4.

Answer 1

Expand the first term in the polynomial and distribute in the second term.

 

(4x³)(4x³) + (x⁶ + 2x⁴) + 3x⁴ =

 

16x⁶ + x⁶ + 2x⁴ + 3x⁴

 

 

Next, combine like terms.

 

17x⁶ + 5x⁴

Answer 2

I'm assuming your equation looks like this: (it's not clear how it's written)

 

(4X³)² + X³(X³+2X) + 3X⁴

 

Remember exponent rules:   X^aX^b = X^(a+b)    and (X^a)^b = X^ab 

So, 

 

4²X⁶ + X⁶ + 2X⁴ + 3X⁴    (then, combine like terms)

 

X⁶(16+1) + X⁴(2+3)     =  17X⁶ + 5X⁴