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Factorise the Given Expressions 10asquare2 − 15bsquare2 + 20csquare2 - CBSE Class 8 - Mathematics

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Question

Factorise the given expressions 10a2 − 15b2 + 20c2

Solution

10a2 = 2 × 5 × a × a

15b2 = 3 × 5 × b × b

20c2 = 2 × 2 × 5 × c × c

The common factor is 5.

10a2 − 15b2 + 20c2 = (2 × 5 × a × a) − (3 × 5 × b × b) + (2 × 2 × 5 × c × c)

= 5 [(2 × a × a) − (3 × b × b) + (2 × 2 × c × c)]

= 5 (2a2 − 3b2 + 4c2)

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 14: Factorisation
Ex. 14.10 | Q: 2.07 | Page no. 220

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Solution Factorise the Given Expressions 10asquare2 − 15bsquare2 + 20csquare2 Concept: Factorisation - Method of Common Factors.
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