Factorize (X + 2)(X2 + 25) -10x2 - 20x - Mathematics

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Factorize (x + 2)(x2 + 25) -10x2 - 20x

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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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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 19 | Page 9

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