(x³±y³)

Q.

Factorize $27x^3-y^3-z^3-9xyz$

Q.

Factorize $8x^3+y^3+12x^{2}y+6x{y}^2$

Q. The value of expression $\frac{0.8\times 0.8\times 0.8-0.5\times 0.5\times 0.5}{0.8\times 0.8+0.8\times 0.5+0.5\times 0.5}$ is equal to

1. 0.13
2. 0.3
3. 0.5
4. 0.8

Q.

Factorize:

$\frac{x^3}{216}-8y^3$

Q.

$(x+y{)}^3-(x-y{)}^3$ can be factorized as

1. $2x(3x^2+y^2)$
   

2. $2x(x^2+3y^2)$
   

3. $2y(3x^2+y^2)$

4. $2y(3y^2+x^2)$
   

Q.

Factorize $x^3-8y^3+27z^3+18xyz$

Q.

Factorize:

$64a^3-b^3$

Q.

The factors of $8a^3+b^3-6ab+1$ are:

1. $(2a-b+1)(4a^2+b^2-4ab+1-2a+b)$

2. $(2a+b-1)(4a^2+b^2+1-3ab-2a)$
   

3. $(2a-1+b)(4a^2+1-4a-b-2ab)$

4. $(2a+b+1)(4a^2+b^2+1-2ab-b-2a)$
   

Q.

Factorize $\frac{1}{27}{x}^3-y^3+125z^3+5xyz$

Q.

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

Q.

Factorize $x^3{y}^3+1$

Q.

Factorize:

$10x^{4}y-10x{y}^4$

Q.

Factorize $x^6+y^6$

Q.

Factorize $32a^3+108b^3$

Q.

Factorize $(3x-2y{)}^3+(2y-4z{)}^3+(4z-3x{)}^3$

Q.

Factorize $(a-2b{)}^3-512b^3$

Q.

Factorize $125x^3-27y^3-225x^{2}y+135x{y}^2$

Q. Factorise $2x^7-128x$

1. $2x\left[\right(x-2\left)\right(x^2+2x+4\left)\right(x-2\left)\right(x^2-2x+4\left)\right]$
2. $x\left[\right(x-2\left)\right(x^2+2x+4\left)\right(x+2\left)\right(x^2-2x+4\left)\right]$
3. $=2x\left[\right(x-2\left)\right(x^2+2x+4\left)\right(x+2\left)\right(x^2-2x+4\left)\right]$
4. $2x\left[\right(x-2\left)\right(x^2+2x+4\left)\right(x+2\left)\right(x^3-2x+4\left)\right]$

Q.

Factorize $2\sqrt{2}{a}^3+3\sqrt{3}{b}^3+c^3-3\sqrt{6}abc$

Q.

Factorize:

$1-27a^3$

Q.

Factorize:

$8x^3{y}^3+27a^3$

Q.

Factorize $8a^3+27b^3+36a^{2}b+54a{b}^2$

Q.

Factorize $8x^3-125y^3+180xy+216$

Q.

Factorize $3\sqrt{3}{a}^3-b^3-5\sqrt{5}{c}^3-3\sqrt{15}abc$

Q.

Factorize $a^3-\frac{1}{a^3}-2a+\frac{2}{a}$

Q. ${15}^3-8^3$ is divisible by _____

1. 3
2. 7
3. 3
4. 8

Q.

Factorize the expression $x^3-64y^3$.

Q.

Factorize:

$54x^{6}y+2x^3{y}^4$

Q.

The correct factorise form of $(x-y{)}^3-8x^3$ is _______

1. $(x+y)(7x^2-4xy+y^2)$
2. $(x-y)(7x^2-4xy+y^2)$
3. $-(x+y)(7x^2-4xy+y^2)$
4. $-(x-y)(7x^2-4xy+y^2)$

Q.

Find the HCF and LCM of $15,25,27$?