CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


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)

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image