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How do you factor #4x^2 - 100#?

Answer 1

Hazel Anglin

Use the fact that: #a^2-b^2=(a+b)(a-b)# So: #4x^2-100=(2x+10)(2x-10)#

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Answer 2

Isaiah Anthony

To factor the expression 4x^2 - 100, you can use the difference of squares formula. The expression can be rewritten as (2x)^2 - 10^2. Then, apply the difference of squares formula: (2x + 10)(2x - 10). So, the factored form of 4x^2 - 100 is (2x + 10)(2x - 10).

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Answer 3

Genesis Allen

To factor (4x^2 - 100), you can use the difference of squares formula. Here are the steps:

Identify that both terms are perfect squares.
Apply the difference of squares formula: (a^2 - b^2 = (a + b)(a - b)).
Rewrite (4x^2) as ((2x)^2) and (100) as (10^2).
Apply the formula: (4x^2 - 100 = (2x + 10)(2x - 10)).

Therefore, the factored form of (4x^2 - 100) is ((2x + 10)(2x - 10)).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.