Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### High School Mathematics5.6 Revision of Algebraic Expressions - VI

 Examples: Expand, (x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3xz). Given that, (x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3xz), This is in the form of, (a + b + c)(a2 + b2 + c2 - ab - bc - ca) = a3 + b3 + c3 - 3abc. Here a = x, b = 2y and c = 3z. = (x)3 + (2y)3 + (3z)3 - 3.x.2y.3z = x3 + 8y3 + 27z3 - 18xyz Expand, (7x + 3)(4x+2). Given that, (7x + 3)(4x+2). This is in the form of (ax + b)(cx + d) = (ac)x2 + (ad + bc)x + bd Here a = 7, b = 3, c = 4 and d = 2. = (7 * 4)x2 + (7*2 + 4*3)x + 6 = 28x2 + 26x + 6 Expand, (x+3)(x+2)(x+1). Given that, (x+3)(x+2)(x+1). Formula for this is , (x+a)(x+b)(x+c) = x3 + (a+b+c)x2 + (ab + bc + ca)x + abc Here, a = 3, b = 2 and c = 1 = x3 + (a+b+c)x2 + (6+2+3)x + 3.2.1 = x3 + 6x2 + 11x + 6 Directions: Solve the following problems. Also write at least 10 examples of your own.
 Q 1: Expand, (2x + y + 3z)(4x2 + y2 + 9z2 - 4xy - 6xz - 3yz).8x3 + y3 + 27z3 - 9xyz4x3 + y3 + 27z3 - 18xyz8x3 + y3 + 27z3 - 18xyz Q 2: Expand, (2x + y + z)(4x2 + y2 + z2 - 4xy - yz - 2xz).8x3 + y3 + z3 - 6xyz4x3 + y3 + z3 - 3xyz8x3 + y3 + z3 - 6xyz Q 3: Expand, (x + 5)(x + 3)(x + 7).x3 + 15x2 + 71x + 105x3 + 15x2 + 71x + 85x3 + 15x2 + 57x + 105 Q 4: Expand, (x+y+z)(x2 + y2+z2 - xy - yz - zx).x3 + y + 2z3 - 3xyzx3 + y + z3 - 6xyzx3 + y + z3 - 3xyz Q 5: Expand, (2x - 1)(x - 2).2x2 - 5x + 42x2 - 6x + 22x2 - 5x + 2 Q 6: Expand, (3x - 5)(3x - 1).9x2 - 16x + 59x2 - 18x + 79x2 - 18x + 5 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

#### Subscription to kwizNET Learning System offers the following benefits:

• Instant scoring of online quizzes
• Progress tracking and award certificates to keep your student motivated
• Unlimited practice with auto-generated 'WIZ MATH' quizzes
• Choice of Math, English, Science, & Social Studies Curriculums
• Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
• Get discount offers by sending an email to discounts@kwiznet.com

 Quiz Timer