Math, asked by ashisharaya8585, 1 year ago

27y3+125z3 factorize

Answers

Answered by atul103
147
Here is your Answer brother!!


apply the formula

 {a}^{3}  +  {b}^{3}  = (a + b)( {a}^{2}  +  {b}^{2}  - ab)
Now

27y^3 + 125z^3

(3y {)}^{3}  + (5z {)}^{3}  = (3y + 5z)( {(3y)}^{2}  +  {(5z)}^{2}  - 3y \times 5z) \\  \\  =  > (3y + 5z)(9 {y}^{2}  + 25 {z}^{2}  - 15yz) \: ans
Answered by Anonymous
74
Hay!!

Dear friend -

Here is ur answer

____________________________________________________________

27y³+125z³

=> (3y)³+(5z)³

So here we used formula x³+ y³
= (x+y)(x² - xy+y²)

So
=> (3y+5z) [(3y)²-3y×5z+(5z²)]

=> (3y-5z) (9y²-15yz+25z²)



I hope it's help you
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