Multiply 5x²(2x² + 13x - 5).
10x⁴ + 65x³ − 25x², 10x² + 65x − 25, 7x² + 18x − 10, 7x⁴ + 18x³ − 10x²

Solution:

We will first multiply the coefficients and then use the exponents rule a^m × aⁿ = a^{m + n}  to multiply the variables.

5x²(2x² + 13x - 5) = (5x² × 2x²) + (5x² × 13x) - (5x² × 5)

First multiply the coefficients and then add the powers of the variables.

⇒ 10x²⁺² + 65x²⁺¹ - 25x² + 0

⇒ 10x⁴ + 65x³ - 25x²

Multiply 5x²(2x² + 13x - 5).

Summary: 

The product is 5x²(2x² + 13x - 5) is 10x⁴ + 65x³ − 25x².