Now, x^2+64 =x^3+4^3 #160; #160; #160; =(x+4)(x^2 4x+4^2) #160; #160; #160; #160; #160; #160; [∵ a^3 +b^3=(a+b)(a^2 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Solving a Quadratic Equation by Completion of Squares Method

Factorize: x...

Question

Factorize:
$x^{3} + 64$ .

Open in App

Solution

Now,
$x^{2} + 64$

$= x^{3} + 4^{3}$

$= (x + 4) (x^{2} - 4 x + 4^{2})$ $[∵ a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})]$

$= (x + 4) (x^{2} - 4 x + 16)$ .

Suggest Corrections

Similar questions

Factorize $x^{3} - 12 x (x - 4) - 64$

x^{3} - 64

(x^{3} + 12 x^{2} + 48 x + 64)

x^{3} + 64

Join BYJU'S Learning Program