The product of the equation (5r − 4)(\(r^{2}\) − 6r + 4) is \(5r^{3} - 34r^{2} + 44r -16\).
What is the distributive property of multiplication ?
The distributive property states that combining the products together after multiplying the sum of two or more addends by a number will produce the same outcome as multiplying each addend separately by the number.
Given :
\((5r - 4)(r^{2} - 6r + 4)\)
\((5r-4)(r^{2} -6r+4)\\=(5r+(-4))(r^{2} +(-6r)+4)\\=(5r)(r^{2} )+(5r)(-6r)+(5r)(4)+(-4)(r^{2} )+(-4)(-6r)+(-4)(4)\\=5r^{3} -30r^{2} +20r-4r^{2} +24r-16\\=5r^{3} -34r^{2} +44r-16\)
therefore, The product of the equation (5r − 4)(\(r^{2}\) − 6r + 4) is \(5r^{3} - 34r^{2} + 44r -16\).
To learn more about distributive property of multiplication , refer to :
https://brainly.com/question/6325967
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