Respuesta :
Answer:
c. (x+3)(4x2)+(x+3)(6) (see the original solution on the bottom)
Step-by-step explanation:
Solve for x over the real numbers:
(x + 3) (4 x^2 + 5) = 0
Split into two equations:
x + 3 = 0 or 4 x^2 + 5 = 0
Subtract 3 from both sides:
x = -3 or 4 x^2 + 5 = 0
Subtract 5 from both sides:
x = -3 or 4 x^2 = -5
Divide both sides by 4:
x = -3 or x^2 = -5/4
x^2 = -5/4 has no solution since for all x on the real line, x^2 >=0 and -5/4<0:
Answer: x = -3
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Solve for x over the real numbers:
2 (x + 3) (2 x^2 + 3) = 0
Divide both sides by 2:
(x + 3) (2 x^2 + 3) = 0
Split into two equations:
x + 3 = 0 or 2 x^2 + 3 = 0
Subtract 3 from both sides:
x = -3 or 2 x^2 + 3 = 0
Subtract 3 from both sides:
x = -3 or 2 x^2 = -3
Divide both sides by 2:
x = -3 or x^2 = -3/2
x^2 = -3/2 has no solution since for all x on the real line, x^2 >=0 and -3/2<0:
Answer: x = -3
The option (D) (x+3)(4x²) + (x+3)(5) is equivalent to (x + 3)(4x² + 5) after simplification option (D) is correct.
What is an expression?
It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= (x + 3)(4x² + 5)
From the options, the option (D) would be: (x+3)(4x²) + (x+3)(5)
Solve the expression:
= (x+3)(4x²) + (x+3)(5)
[tex]\rm =\left(x+3\right)\cdot \:4x^2+\left(x+3\right)\cdot \:5[/tex]
[tex]\rm = 4x^2\left(x+3\right)+5\left(x+3\right)[/tex]
= (x + 3)(4x² + 5)
Thus, the option (D) (x+3)(4x²) + (x+3)(5) is equivalent to (x + 3)(4x² + 5) after simplification option (D) is correct.
Learn more about the expression here:
brainly.com/question/14083225
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