Question

Factorise: 16x5-144x3

Solution

explanation..... see, here it's 16x^5 - 144x³, so in these terms, 16 and x³ are common. See this, you will understand, (2*2*2*2*x*x*x*x*x) - (2*2*2*2*3*3*x*x*x) So the common among the two terms are 2*2*2*2*x*x*x = 16x³ Now, when you take16x³ as common, it will become like this, 16x³ (x² - 9) See, above this is given in the bracket (x²-9), for a while, forget about 16x³ You can also write it as (x²-3²), right? So, this matches with the identity, a² - b² = (a+b) (a-b) Thus, (x² - 3²) which will be equal to (x+3) (x-3) So, thus the factorised number will be 16x³ (x+3) (x-3)

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