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What is the completely factored form of 8x2 – 50?2(x + 5)(x – 5)2(2x – 5)(2x – 5)2(2x + 5)(2x + 5)2(...
5 months ago
Q:
What is the completely factored form of 8x2 – 50?2(x + 5)(x – 5)2(2x – 5)(2x – 5)2(2x + 5)(2x + 5)2(2x + 5)(2x – 5)
Accepted Solution
A:
ANSWER
The completely factored form is
[tex]2(2x + 5)(2x - 5)[/tex]
EXPLANATION
The given expression is
[tex]8 {x}^{2} - 50[/tex]
We factor the highest common factor to get,
[tex]2( {4x}^{2} - 25)[/tex]
We can rewrite the expression in the parenthesis as difference of two squares.
[tex]2( {(2x)}^{2} - {5}^{2} )[/tex]
Recall that,
[tex] {a}^{2} - {b}^{2} = (a + b)(a-b)[/tex]
This implies that,
[tex]2(2x + 5)(2x - 5)[/tex]
The correct answer is option D.