Final answer:
To multiply the binomials (2x+5) and (8x-7), use the distributive property. The result is 16x^2 + 26x - 35.
Step-by-step explanation:
To multiply the binomials (2x+5) and (8x-7), we can use the distributive property. Multiplying the first terms gives 2x * 8x = 16x^2, multiplying the outer terms gives 2x * -7 = -14x, multiplying the inner terms gives 5 * 8x = 40x, and multiplying the last terms gives 5 * -7 = -35. Adding these terms together, the result is 16x^2 - 14x + 40x - 35, which simplifies to 16x^2 + 26x - 35.
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