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# Multiply 5x^{2}(2x^{2} + 13x - 5).

10x^{4} + 65x^{3} − 25x^{2}, 10x^{2} + 65x − 25, 7x^{2} + 18x − 10, 7x^{4} + 18x^{3} − 10x^{2}

**Solution:**

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

5x^{2}(2x^{2} + 13x - 5) = (5x^{2} × 2x^{2}) + (5x^{2} × 13x) - (5x^{2} × 5)

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

⇒ 10x^{2+2} + 65x^{2+1} - 25x^{2} + 0

⇒ 10x^{4} + 65x^{3} - 25x^{2}

## Multiply 5x^{2}(2x^{2} + 13x - 5).

**Summary: **

The product is 5x^{2}(2x^{2} + 13x - 5) is 10x^{4} + 65x^{3} − 25x^{2}.

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