Page 7 of 7
Answers
Question 1
| (a) | \( 5(x + 3)\) | (b) | \( 3(x - 4)\) | (c) | \( 7(x + 3)\) |
| (d) | \( 6(x + 3)\) | (e) | \( 2(x - 3)\) | (f) | \( 4(2x + 5)\) |
| (g) | \( 3(2x - 3)\) | (h) | \( 5(5x - 3)\) | (i) | \( 5(x + 1)\) |
| (j) | \( 7(2x - 3)\) | (k) | \( 8a + 3\) | (l) | \( 3(3x + 1)\) |
Question 2
| (a) | \( x(x + 4)\) | (b) | \( y(y - 1)\) | (c) | \( y(7y - 3)\) |
| (d) | \( x(x - 5)\) | (e) | \( x(3x + 2y)\) | (f) | \( x(8xy + 3)\) |
| (g) | \( a(a^2 - 4)\) | (h) | \( x(bx - a)\) | (i) | \( a(ax + 4b)\) |
| (j) | \( x(3x - 5y + 2)\) | (k) | \( x^2(4x + 7)\) | (l) | \( x(9x^2y - 5bx + 2b)\) |
Question 3
| (a) | \( 3x(x + 2)\) | (b) | \( 5x(x - 2)\) | (c) | \( 4x(2x + 1)\) |
| (d) | \( 3y(3y + 2)\) | (e) | \( 4b(b - 3)\) | (f) | \( 4x(2x + 5)\) |
| (g) | \( 5x(3x - 1)\) | (h) | \( 3x(8x - 1)\) | (i) | \( bx(x - 1)\) |
| (j) | \( 5ax(x + 2)\) | (k) | \( 4xy(3y - 2)\) | (l) | \( 7ab(5a + b)\) |
Question 4
| (a) | \( 3(a + 4b - 3c)\) | (b) | \( 5(x + 2y - 3z)\) | (c) | \( 2(2a - b + 4)\) |
| (d) | \( 3x(2x + y - 7)\) | (e) | \( 2x(4x - 3y + 5z)\) | (f) | \( 5xy(4 - 3y + 7xy)\) |
| (g) | \( 4y(xy - 2y + 5x)\) | (h) | \( xy(7x + 4y - 3)\) | (i) | \( 6ax(2a - 5x + ax)\) |
| (j) | \( 2ab(4b + 2ab - 1)\) | (k) | \( 3ab(6ab - 2bc - 7b)\) | (l) | \( 3xy(y + 2ay + 7axy)\) |
Question 5
| (a) | \( (x + 2)(x + 3)\) | (b) | \( (x + 5)(x + 2)\) | (c) | \( (x + 1)(x + 3)\) |
| (d) | \( (x + 7)(x + 2)\) | (e) | \( (x + 4)(x + 3)\) | (f) | \( (x + 5)(x + 4)\) |
| (g) | \( (x + 2)(x + 9)\) | (h) | \( (x + 1)(x + 12)\) | (i) | \( (x + 6)(x + 4)\) |
| (j) | \( (x + 3)(x + 6)\) | (k) | \( (x + 5)(x + 3)\) | (l) | \( (x + 8)(x + 4)\) |
Question 6
| (a) | \( (x + 1)(x - 5)\) | (b) | \( (x - 4)(x + 3)\) | (c) | \( (x - 2)(x + 4)\) |
| (d) | \( (x - 6)(x - 4)\) | (e) | \( (x + 7)(x + 3)\) | (f) | \( (x - 3)(x + 5)\) |
| (g) | \( (x + 1)(x + 2)\) | (h) | \( (x - 3)(x - 5)\) | (i) | \( (x + 5)(x - 9)\) |
| (j) | \( (x - 1)(x - 4)\) | (k) | \( (x - 3)(x + 7)\) | (l) | \( (x - 2)(x - 9)\) |
Question 7
| (a) | \( (2x + 3)(x + 1)\) | (b) | \( (x + 3)(x - 3)\) | (c) | \( (3x + 1)(x + 7)\) |
| (d) | \( (7x + 1)(x - 1)\) | (e) | \( (x + 9)(x - 9)\) | (f) | \( (2x + 1)(2x + 3)\) |
| (g) | \( (a + b)(a - b)\) | (h) | \( (4x - 3)(2x + 1)\) | (i) | \( (2x + 4)(2x - 4)\) |
| (j) | \( (3x - 2)(4x - 3)\) | (k) | \( (5x + 2y)(5x - 2y)\) | (l) | \( (4xy + 5b)(4xy - 5b)\) |
Question 8
| (a) | \( 4(x + 2) \) | (b) | \( (x + 1)(x + 6)\) | (c) | \( 3x(2x + 1)\) |
| (d) | \( (x + 4)(x - 4) \) | (e) | \( (3x - 4)(x + 1) \) | (f) | \( 3y^2(2x^2 - 3x + 1) \) |
| (g) | \( 5(x + 4) \) | (h) | \( 4b(2ab - b) \) | (i) | \( 2(3x - 2) \) |
| (j) | \( (x - 3)(x + 2) \) | (k) | \( 4(2x + 6) \) | (l) | \( (x - 7)(x + 2) \) |
Question 9
| (a) | \( (x + 7)(x + 4) \) | (b) | \( x(x + 5) \) | (c) | \( 3y(y - 4)\) |
| (d) | \( 2xy(3y + 1 + 4x) \) | (e) | \( 4(a^2 + 3b) \) | (f) | \( 5x(x - 4) \) |
| (g) | \( (6x + 2)(2x - 1) \) | (h) | \( x(3x - 1) \) | (i) | \( (x - 5)(x - 7) \) |
| (j) | \( 3x(2x + 5) \) | (k) | \( (3x + 2)(3x - 2) \) | (l) | \( x(x + 7) \) |