2x⁵(4x⁴ + 3x² + 4x)
expand the parenthesis:
2x⁵ × 4x⁴ + 2x⁵ × 3x² + 2x⁵ × 4x
collect like terms when multiplying by bringing the numbers and exponents together seperately:
2×4×x⁵ ×x⁴ + 2× 3 × x⁵ × x² + 2×4 × x⁵ ×x
Multiplication of exponent must have same base. Then the exponents are added together:
[tex]\begin{gathered} 8\times x^{5+4^{}}+6\times x^{5+2}+8\times x^{5+1} \\ 8\times x^9+6\times x^7+8\times x^6 \\ 8x^9+6x^7+8x^6 \end{gathered}[/tex]