Summary
Highlights
This tutorial is the second in a series on expanding single brackets, specifically addressing questions that involve expanding two or more single brackets and then simplifying the results. Viewers are reminded of the importance of knowing multiplication rules for positive and negative numbers.
The first example demonstrates expanding and simplifying an expression with two positive single brackets: 3(C + 4) + 5(D + 2). The process involves multiplying the numbers outside the brackets by each term inside, resulting in 3C + 12 and 5D + 10. The LIKE terms are then combined to get the simplified expression 3C + 5D + 22.
The second example introduces a negative sign in the second bracket: 5(X + 3) + 6(X - 4). The first bracket expands to 5X + 15. The second bracket expands to 6X - 24 (positive 6 multiplied by negative 4). Combining like terms (5X + 6X and 15 - 24) results in the simplified expression 11X - 9.
The final example involves more negative signs: 4(Y - 4) - 3(Y - 2). The first part (4 times Y and 4 times -4) becomes 4Y - 16. The second part (-3 times Y and -3 times -2) becomes -3Y + 6. Combining like terms (4Y - 3Y and -16 + 6) simplifies the expression to Y - 10.
The tutorial concludes by highlighting the comprehensive coverage of expanding and simplifying single brackets. Viewers are encouraged to practice using resources on the mm.com website. It also briefly mentions that the next topic will be double brackets, but advises checking with a teacher or lecturer if this is relevant to their course.