Expanding Brackets Practice Questions

Expand $5(3x-4)$

Expand and simplify $4(2y+3)-3(y-5)$

Expand and simplify $(x+7)(x-4)$

Expand and simplify $(2m-1)(m+6)$

Expand and simplify $x(x+5)+3(x-2)$

Expand and simplify $2t(3t-1)-t(t+4)$

Expand and simplify $(3x-4)^2$

Show that $(2x+5)^2-(2x-5)^2=40x$ for all values of $x$.

Expand and simplify $(x+4)(2x-1)(x-3)$

Expand and simplify $(3x-1)(x+2)$

Show that the area, in cm², of the shape shown by the solid line is $2x^2+5x-2$

Expand and simplify $(2y-3)(y+5)$

Hence, or otherwise, expand and simplify $(2y-3)(y+5)-(y+1)^2$

$(x+a)(x+3)(2x-1) \equiv 2x^3+bx^2+cx+15$

where $a$, $b$ and $c$ are integers.

Find the value of $a$, the value of $b$ and the value of $c$.