Question2. Expand and simplify the following a) $2(3+x)+4 x$ b) $(x-3)(x+2)$ c) $(4 x-3)^{2}$

Studdy Solution
Use the square of a binomial formula $(a-b)^2 = a^2 - 2ab + b^2$ to expand $(4x-3)^2$:
Let $a = 4x$ and $b = 3$.
Calculate $a^2$:
$$(4x)^2 = 16x^2$$
Calculate $-2ab$:
$$-2 \times 4x \times 3 = -24x$$
Calculate $b^2$:
$$3^2 = 9$$
Combine all terms:
$$16x^2 - 24x + 9$$
The simplified expression is:
$$\boxed{16x^2 - 24x + 9}$$