Multiply the polynomials:

\[ (6p + 8)(5p - 8) \]

( 6 p + 8 ) ( 5 p − 8 ) = 6 p ⋅ 5 p − 6 p ⋅ 8 + 8 ⋅ 5 p − 8 ⋅ 8 = = 30 p 2 − 48 p + 40 p − 64 = 30 p 2 − 8 p − 64

Answered by Lilith | 2024-06-10

The product of (6p+8)(5p-8) is 30p² - 8p - 64.
To multiply the polynomials (6p+8)(5p-8), we use the distributive property. We multiply each term in the first polynomial by each term in the second polynomial and then combine like terms.
(6p+8)(5p-8) = 6p(5p) + 6p(-8) + 8(5p) + 8(-8)
Simplifying this expression, we get:
30p² - 48p + 40p - 64
Combining like terms, we have:
30p² - 8p - 64
Therefore, the product of (6p+8)(5p-8) is 30p² - 8p - 64.
We can see that each term in the first polynomial (6p+8) is multiplied by each term in the second polynomial (5p-8). The resulting expression is then simplified by combining like terms. The final result is a polynomial with the highest degree term of 30p², followed by -8p, and a constant term of -64. This represents the product of the two polynomials.
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Answered by rachanavt02 | 2024-06-17

To multiply the polynomials ( 6 p + 8 ) ( 5 p − 8 ) , use the distributive property to find the product, which results in 30 p 2 − 8 p − 64 . The process involves multiplying each term in the first polynomial by each term in the second polynomial and combining like terms. The final answer represents the expanded form of the polynomial.
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Answered by Lilith | 2024-09-30