this video is about important algebra skills that we need to be really good at now the first question I need to multiply at the brackets and then simplify so I'm going to start by multiplying the 3 with the 2x that's going to give me 6x then I'm going to multiply 3 by minus 3y that's minus 9y now this is where I need to be a little bit careful I need to multiply this minus 4 with the X and I need to multiply the minus 4 with the minus 2y now it's very easy to make mistakes here so we need to be careful here minus 4 times X is minus 4 X minus 4 times minus 2 y is plus 8y now this can be simplified further 6 X minus 4 X is 2 X minus 9y + 8 y is minus y now the next question is a multiplication now I can change the order of multiplication and I will still be left with the same expression so I'm gonna start by writing 2 times 3 and then I'm gonna say times a squared times a and times B times B cubed and times C so I'm just gonna simplify it now so 2 times 3 is 6 a squared times a is a cubed B times B cubed is B to the power of 4 and times C and that's the answer question 3 is a division now it's helpful to write this out as a product in the numerator and a product in the denominator and then it's easy to see what will cancel so I'm going to start by writing 15 as 3 times 5 a squared as times a times a B cubed is times B times the d and then times C all over three times a times B times C cubed is C times C times C now I'm going to cancel things down this three cancels with that three the a cancels there this B can cancel with that B and this C can cancel with this C now what I'm left with is five a B squared as my numerator and I have C squared as my denominator and this is simplified now question four is fractions and it's division now we're used to doing division of fractions by changing the divide into a multiplier and swapping the this fraction upside down so let's do that to a squared over three B squared C times seven C to the power of three over six a B squared now I can write this as I did with question three but when I'm but when I'm getting used to this I don't need to do that anymore so I'm just gonna cancel down from here this two can cancel with this six and this will make it a three there this C can cancel with this C cubed and that will make it a C squared now this a will cancel with this a squared and making an A and that's as far as I can simplify so I'm just gonna write this again so why have in the numerator is 7a C squared over three times three is nine B squared times B squared is B to the power of 4 and that's simplified now now what I would like you is answer these questions and then bring them to the lesson