### Video Transcript

Which expression is equivalent to three π minus four π multiplied by 11π minus π. Circle your answer. The options are: negative 11π squared minus π, negative 10π squared, two π minus 44π squared, or three π minus 40π squared.

So to solve this problem and simplify the expression, what we need to use is BIDMAS. And what BIDMAS is, is a tool to help us remember which order to do our operations in. So we have brackets, indices, division, multiplication, addition, and subtraction. Well, we can see that in our expression, we have subtraction and multiplication. And if we check BIDMAS, we can see that the multiplication comes first. So therefore, weβre gonna use this first to simplify our expression.

So, for our expression, weβre gonna do the four π multiplied by 11π first. So I, actually, just put it in brackets so we can see that weβre gonna do that first. So weβre gonna have three π minus. And then when we multiply two terms, we multiply the coefficients first. So we have four by 11 which gives us 44. And then we have π multiplied by π which gives us π squared. So weβve got 44π squared. And then, finally, weβve got minus π.

So the next thing we need to do is simplify or collect any like terms. But weβve got three π and negative π. These are the only like terms because we can remember that we canβt add or subtract any terms that have a different pair of π, in this case. So we couldnβt add or subtract π squareds away from πs. So then if we do three π minus π, we get two π. Then weβve got minus 44π squared. So, therefore, we can say that the expression equivalent to three π minus four π multiplied by 11π minus π is two π minus 44π squared.