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A day full of math games & activities. Find one near you.
Factor completely 16x2 - 25.
(4x - 5)(4x - 5), (4x + 5)(4x - 5), (16x + 5)(x - 5), (16x - 5)(x + 5)
Solution:
To factorise completely, we will use the algebraic identity a2 - b2
The equation 16x2 - 25 can be written as (4x)2 - (5)2.
Using the algebraic identity, we factor the polynomial as
a2 - b2 = (a + b)(a - b) where a = 4x and b = 5
(4x)2 - (5)2 = (4x + 5)(4x - 5)
Factor completely 16x2 - 25.
Summary:
The factors of 16x2 - 25 are (4x + 5)(4x - 5) using the algebraic identity a2 - b2 = (a + b)(a - b)
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