Jose Paul Solutions for Chapter: Multiplication and Division, Exercise 5: EXERCISE 7.5

Factorise $4m^2+4n^2+9r^2+8mn-12nr-12mr$.

Factorise $p^2+9q^2+4z^2-6pq+12qz-4pz$.

Factorise $9m^2+25n^2+4p^2+30nm-20np-12mp$.

Factorising $1-p^3$, we get, $(k-p)(1+p+p^2)$. Find $k$.

Factorising $64y^3-8p^3$, we get, $(4y-k)(16y^2+8py+4p^2)$.

Factorising ${\left(x+y\right)}^3-1$, we get, $(x+y-1)(x^2+2xy+y^2+x+y+k)$. Find $k$.

Factorising $8x^3+216y^3$, we get, $(2x+k)(4x^2-12xy+36y^2)$. Find $k$.

The product of $(a+2b)(a^2-2ab+4b^2)$ is $a^3+k{b}^3$. Find $k$.