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Question
Factorize (x + 2)(x2 + 25) -10x2 - 20x
Solution
= ( x + 2)(x2 + 25) -10x ( x + 2)
Taking ( x + 2) common in both terms
= (x + 2)(x2 + 25 -10x)
= ( x + 2)(x2 -10x + 25)
Splitting middle term of x2 -10x + 25
= ( x + 2){x2 - 5x - 5x + 25}
= ( x + 2){x ( x - 5) - 5( x - 5)}
= ( x + 2)( x - 5)( x - 5)
∴ ( x + 2)(x2 + 25) -10x2 - 20x = ( x + 2)( x - 5)( x - 5)
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