Factorisation by common factors

Q.

If $d=\mathrm{HCF}(48,72)$ , find the value of $d$.

Q.

Factorise the given expression: $5y^2-20y-8z+2yz$

Q.

Find the HCF of any two consecutive even numbers.

Q. Factorise:
$2xp+4xq-3yp-6yq$

1. $(p+2q)(2x-3y)$
2. $(p-2q)(2x-3y)$
3. $(p+2q)(2x+3y)$
4. $(p-2q)(2x+3y)$

Q.

Factorize the given expressions:

(i) $-4a^2+4ab-4ca$

(ii) $x^{2}yz+x{y}^{2}z+xy{z}^2$

Q.

Factorize the following expression:

$8{(3a-2b)}^2-10(3a-2b)$

Q. Which among the following is a factor of
$14x^3+21x^2+28x?$

1. $x-1$
2. $x+2$
3. $x+1$
4. $7x$

Q.

Find the common factor between
$2t,3t^2\text{and}4.$