The solution of the polynomial 4x²y(3x⁴+2y³) will be 12x⁶y + 8x²y⁴.
A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The given polynomial will be solved as below:-
P = 4x²y(3x⁴+2y³)
Multiply the terms in the bracket by the term 4x²y to get the solution of the polynomials.
P = 4x²y(3x⁴+2y³)
P = [ (4x²y ) x ( 3x⁴ ) ]+ [ ( 4x²y) x ( 2y³ ) ]
P = 12x⁶y + 8x²y⁴.
Therefore, the solution of the polynomial 4x²y(3x⁴+2y³) will be 12x⁶y + 8x²y⁴.
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