12 (a) Multiply out - OCR - GCSE Maths - Question 12 - 2018 - Paper 1

We will use the distributive property (also known as the FOIL method for binomials) to expand the expression:

1. Multiply $3x$ by $x$ to get $3x^2$
2. Multiply $3x$ by $-4$ to get $-12x$
3. Multiply $2$ by $x$ to get $2x$
4. Multiply $2$ by $-4$ to get $-8$

Now, we combine all the terms:

$3x^2 - 12x + 2x - 8$

Combining like terms ($-12x + 2x$):

$3x^2 - 10x - 8$

So, the final answer is:
Answer: $3x^2 - 10x - 8$

To solve the inequality, we isolate $x$:

1. Add $2$ to both sides: $3x ≤ 24$

2. Divide both sides by $3$: $x ≤ 8$

Thus, the solution to the inequality is:
Answer: $x ≤ 8$