Question

2x⁵(4x⁴ + 3x² + 4x) multiply and give the product in sum

Answer 1

`8x^9+6x^7+8x^6`Step-by-step explanation:

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:

`\begin{gathered} 8* x^{5+4^{}}+6* x^(5+2)+8* x^(5+1) \\ 8* x^9+6* x^7+8* x^6 \\ 8x^9+6x^7+8x^6 \end{gathered}`