Answer :
Answer: B.x^3+4x^2-19x+14 is correct
Step-by-step explanation:
(x + 7)(x2 – 3x + 2)
Multiplying both
x^3-3x^2+2x+7x^2-21x+14
x^3+4x^2-19x+14
After expanding the given equation, the equivalent expression is found to be [tex]x^3 + 4x^2 -19x +14[/tex]
The correct answer is B
Given expression:
[tex](x + 7)(x^2 - 3x + 2)[/tex]
To find:
- the equivalent expression in expanded form
The given expression can be expanded as follows;
[tex](x + 7)(x^2 - 3x + 2)\\\\remove \ the \ bracket \ by \ multiplying \ through \ with \ "x" \ and \ "7"\\\\x(x^2 - 3x + 2) + 7(x^2 - 3x + 2)\\\\x^3 - 3x^2 + 2x + 7x^2 - 21x+ 14\\\\simplify \ further \ by \ collecting \ similar \ terms \ together\\\\x^3 + (-3x^2 + 7x^2)+ (2x-21x) + 14\\\\x^3 + 4x^2 - 19x+ 14[/tex]
Thus, the equivalent expression of the given equation is [tex]x^3 + 4x^2 -19x +14[/tex]
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