Answer :
The correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].
What is an expression?
- An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.
To find the correct simplification of the given expression:
- The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30.
- This check eliminates the first choice.
- The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.
- The squared term will be the sum of the products of factors whose degrees total 2:
- [tex](8x)(-5x)+(-5)(2x^{2} )=-40x^{2} -10x^{2} =-50x^{2} =16x^{3} -50x^{2} -23x+30[/tex]
Therefore, the correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].
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The correct question is given below:
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)
(A) 16x3 − 50x2 − 23x − 30
(B) 16x3 − 50x2 − 23x + 30
(C) 16x3 − 30x2 − 23x + 30
(D) 16x3 + 50x2 − 23x + 30