Higher November 2022 Unit 2 Q10
10.
(a) Expand and simplify \((2h + 3t)(5h - 7t)\). [3]
(b) Simplify \(\dfrac{7(d + 5)^8}{(d + 5)^{-2}}\). [1]
| Scheme | Marks | Comments |
|---|---|---|
| \(10h^2 - 14ht + 15ht - 21t^2\) | B2 | Penalise alternative notation, such as tt for t², -1, once only. B1 for any three terms correct. \(mh^2 + (1)ht + nt^2\), where \(m\) and \(n\) are integers (and provided not from incorrect working) implies the middle two terms correct. |
| \(10h^2 + (1)ht - 21t^2\) | B1 | Mark final answer. Implies previous B2. FT their expression, provided it is a quadratic with 4 terms to consider and there are like terms to collect. |
| Scheme | Marks | Comments |
|---|---|---|
| \(7(d + 5)^{10}\) | B1 | Mark final answer. |