One of the factor of(25x^2-1)*(1+5x)^2
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Answered by
2
Answer:
(25x²-1)*(1+5x)²
= (25x²-1)(1+5x)²
= {(5x)²-1²}(1+5x)²
= (5x-1) (5x+1) (1+5x)²
= (5x-1) (1+5x) (1+5x)²
= (5x-1) (1+5x)³
= (5x-1) (1+5x)(1+5x)(1+5x)
Answered by
2
Answer:
(25x² - 1) (1 + 5x)² = (25x² - 1) (1 + 25x² + 10x)
= (25x² - 1) {(25x² + 5x + 5x + 1)}
= (25x² - 1) [5x(5x + 1)] [1(5x + 1)]
= (25x² - 1) (5x + 1) (5x + 1)
=> x = √1/25
x = 1/5
=> x = -1/5
So x = +1/5 or -1/5
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