Foundation June 2022 Paper 2 Q21
21
(a) Simplify \((x^3)^5\) (1)
(b) Expand and simplify \(4(x + 3) + 7(4 - 2x)\) (2)
(c) Factorise fully \(15x^3 + 3x^2y\) (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(x^{15}\) | B1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| \(40 - 10x\) | M1 | for method to expand one bracket or collect like terms, eg \(4 \times x + 4 \times 3\ (= 4x + 12)\) or \(7 \times 4 - 7 \times 2x\ (= 28 - 14x)\) or \(4 \times x - 7 \times 2x\ (= 4x - 14x)\) and \(4 \times 3 + 7 \times 4\ (= 12 + 28)\) |
| A1 | oe |
| Answer | Mark | Mark scheme |
|---|---|---|
| \(3x^2(5x + y)\) | M1 | for \(3(5x^3 + x^2y)\) or \(x(15x^2 + 3xy)\) or \(3x(5x^2 + xy)\) or \(x^2(15x + 3y)\) or \(3x^2(ax + by)\) |
| A1 | cao |
Additional guidance
Where \(a \geqslant 1\) and \(b \geqslant 1\)