# Algebra Worksheets 8

In this topic algebra worksheets 8 you can find 6 questions in the form of quiz.You can also find the answers also.Students who are practicing algebraic identity must attend this test to test their knowledge.

These question paper is mainly prepared for 8th,9th and 10th grade students.You can click the link answer to get direct answer without taking test.You are given the problems based on the second formula that is

You are given the problems based on the algebraic formula that is (a² + b ² + c ²). If the given expressions are like (a² + b ² + c ²) we need to apply the formula (a² + b ² + c ² + 2ab + 2bc + 2ca). Using this concept we have given 6 question in the form of quiz. Online math 4 all gives collections of work sheets from all the grades.You may practice each set of worksheets and also you check your answers that will help you to evaluate the knowledge.

Teachers and parents also can help the children to practice the work sheets and improve their knowledge. If you are having any difficulties to understand any step in the solution please Contact us via mail. We will send you step by step detailed solution.

1. Expand (x + y + z)²

(A) (x ² + y² + z² + 2 x y + 2 y z + 2 z x)

(B) (x ² + y² + z² + 2 x y - 2 y z - 2 z x)

(C) (x ² + y² - z² - 2 x y + 2 y z + 2 z x)

2. Expand (2a + b + c)²

(A) (4a ² - b ² - c ² - 4 a b + 2 b c + 4 c a)

(B) (4a ² - b ² + c ²+ 4 a b - 2 b c - 4 c a)

(C) (4a ² + b ² + c ²+ 4 a b + 2 b c + 4 c a)

3. Expand (2a - b - c)²

(A) (4a ² - b ² - c ² - 4 a b + 2 b c + 4 c a)

(B) (4a ² - b ² + c ²+ 4 a b - 2 b c - 4 c a)

(C) (4a ² + b ² + c ²- 4 a b + 2 b c - 4 c a)

4. Expand (2a + 3b + 4c)²

(A) 4a² + 9b² + 16c² + 12 ab + 24 bc + 16 ca

(B) 4a² - 9b² + 16c² - 12 ab + 24 bc + 16 ca

(C) 9a² + 9b² + 16c² + 24 ab + 12 bc + 16 ca

5. Expand (3p - 2r + s)²

(A) 9p² - 4r² - s² - 12 pr - 4 rs + 6 st)

(B) 9p² + 4r² + s² - 12 pr + 4 rs - 6 st)

(C) 9p² + 4r² + s² - 12 pr - 4 rs + 6 sp)

6. Expand (p + 3q + s) ²

(A) ( p ² - 9 q² + s² + 6 pq - 6 qs + 2 sp)

(B) ( p ² + 9 q² + s² + 6 pq + 6 qs + 2 sp)

(C)( p ² - 9 q² + s² + 6 pq - 6 qs - 2 sp)

## Answers for algebra worksheets 8

This algebra worksheets 8must be very helpful to 8,9th and 10th grade students. These are the question prepared in the topic algebra worksheets 8.  algebra worksheets 8

1. x ² + y² + z² + 2 x y + 2 y z + 2 z x

2. 4 a² + b² + c² + 4 a b + 2 b c + 4 c a

3. 4 a² + b ² + c ² - 4 a b + 2 b c - 4 c a

4. 4 a² + 9 b² + 16 c² + 12 a b + 24 b c + 16 c a

5. 9 p² + 4 r² + s² - 12 p r - 4 r s + 6 s t

6.  p ² + 9 q² + s² + 6 p q + 6 q s + 2 s p