1a) Firstly, lets start by expanding the brackets. x × x is x². So x(x+1) = x² + x. Then we do the second part. 2 × x = 2x and 2 × 1 = 2. Now we have
x² + 3x + 2.
Now what we do is simplify through quadratic formula. We look at the last digit which is 2. What two numbers multiplies to give you 2? 2 and 1. 2 x 1 = 2 and 2 + 1 = 3. Our second number is 3 so this is the right amount. so now we just put the two factors together. (x + 1)(x+2). This is the answer.
b) I have explained above and so am just gonna write the answers. After expanding we get x² + 2x + 1. We get simplify to
= (x + 1)(x+1)
c) y² + 3y + 4. This cannot be simplified into the format so we leave it like this.
d) = 0.
Have a go at the last ones by yourself, if you still need help, I am available!
