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When the expression [tex]5x(2x + 5) - x^2 + 4x[/tex] is simplified, it is equivalent to

(1) [tex]8x^2 + 21x[/tex]

(2) [tex]6x^2 + 29x[/tex]

(3) [tex]9x^2 + 21x[/tex]

(4) [tex]9x^2 + 29x[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\( 5x(2x + 5) - x^2 + 4x \)[/tex], let's follow these steps:

1. Distribute [tex]\( 5x \)[/tex] inside the parenthesis:
[tex]\[ 5x(2x + 5) = 5x \cdot 2x + 5x \cdot 5 = 10x^2 + 25x \][/tex]

2. Combine all parts of the expression:
[tex]\[ 10x^2 + 25x - x^2 + 4x \][/tex]

3. Combine like terms:
[tex]\[ 10x^2 - x^2 + 25x + 4x = 9x^2 + 29x \][/tex]

So, when [tex]\( 5x(2x + 5) - x^2 + 4x \)[/tex] is simplified, it is equivalent to:
[tex]\[ 9x^2 + 29x \][/tex]

The correct answer is:
(4) [tex]\( 9x^2 + 29x \)[/tex]
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