O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 7: Exercise

If $30x^2+103xy-7y^2=(2x+my)(nx-y)$, then find the value of $m+n$.

If the factors of $12x^2-29xy+14y^2$ is of the form $\left(Ax+By\right)\left(Cx+Dy\right)$, then find the value of $A+B+C+D$.

Factorise:

$15+p(7-2p)$

If $2-y(7-5y)=(m-y)(n-5y)$, find the value of $m+n$.

Factorise:

$x(2x+5)-3$

Factorise:

$1-18y-63y^2$

Factorise:

$8a^{3}b-10a^2{b}^2-12a{b}^3$

Factorise:

$2(a+b{)}^2-5(a+b)-3$