Q4 of 16 Page 63

Let’s find the value of by calculation if

Given,



Multiplying both side by ‘a’



⇒ a2 + 9 = 3a


⇒ a2 – 3a + 9 = 0


Now,


a3 + 27


= a3 + 33


Using x3 + y3 = (x + y) (x2 – xy + y2)


= (a + 3) (a2 – 3a + 32)


= (a + 3) (a2 – 3a + 9)


= (a + 3) × 0


= 0


More from this chapter

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2

Let us simplify using formula:

i.


ii.


iii.


iv.



v.



3

Let’s find the value of by calculation if

or,


or,


or, [by transposition]



[With the help of the identity No. VI]



 5

Let’s find the value of by calculation if

6

Let’s resolve into factors the following algebraic expressions:

i.


ii.


iii.


iv.


v.


vi.


vii.


viii.


ix.


x.


xi.


xii.


xiii.


xiv.


xv.


xvi.


xvii.