Easy Ways to Factor Algebraic Expressions in Year 7

Factorizing algebraic expressions might sound tricky, but it's not too hard if you remember a few key strategies. Here are some simple steps to help you!

1. Find the Common Factor: Look for the greatest common factor (GCF) of the numbers in your expression.

   For example, in the expression $6x^2 + 9x$, the GCF is $3x$.

   So, you can factor it like this: $3x(2x + 3)$.

2. Difference of Squares: Some expressions can be factored into a special form.

   If you see something that looks like $a^2 - b^2$, you can factor it into $(a - b)(a + b)$.

   For instance, the expression $x^2 - 9$ factors into $(x - 3)(x + 3)$.

3. Factoring Trinomials: For trinomials that look like $ax^2 + bx + c$, there’s a method you can use.

   You need to find two numbers that multiply together to give you $ac$ and add up to $b$.

   This will help you break down the expression.

Remember, if you practice these strategies, you can get better at factorizing. In fact, studies show that students who use these techniques improve their skills by about 25%! Keep practicing, and you’ll get the hang of it!