Karen Morrison and Nick Hamshaw Solutions for Exercise 3: Exercise 6.3

Factorise as fully as possible: $m^3{n}^2+6m^2{n}^2\left(8m+n\right)$

Factorise as fully as possible: $\frac{1}{2}a+\frac{1}{2}b$

Factorise as fully as possible: $\frac{3}{4}{x}^4+\frac{7}{8}x$

Factorise as fully as possible: $3\left(x-4\right)+5\left(x-4\right)$

Factorise as fully as possible: $5{\left(x+1\right)}^2-4{\left(x+1\right)}^3$

Factorise as fully as possible: $6x^3+2x^4+4x^5$

Factorise as fully as possible: $7x^{3}y-14x^2{y}^2+21x{y}^2$

Factorise as fully as possible: $x\left(3+y\right)+2\left(y+3\right)$