CBSE Class 8 Mathematics Algebraic Expressions And Identities Worksheet Set D

Question. If a = 7 and b = 3. Find a² – b².
Answer : 40

Question. What should be subtracted from (x + y)² to get (x² + y²).
Answer : 2xy

Question. If a = 5 and b = 3. Find the value of (x + y)² – (x² + y²).
Answer : 30

Question. Multiply and give the answer in simplified form (z – 6) (z – 5).
Answer : z² – 11z + 30

Question. Find the product of 9xy² and 4x³y.
Answer : 36x⁴y³

Question. Add : 7xy + 5yz – 3zx, – 5yz + 3zx, –6xy + yz + zx.
Answer : xy + yz + zx

Question. What should be added to a² + b² to get (a – b)².
Answer : –2ab

Question. Find the volume of a rectangular box with length, breadth and height respectively 2ax, 3cy and 5gz.
Answer : 30 acgxyz

Question. Find the area of a rectangle with length and breadth respectively 5mn and 3ns.
Answer : 15mn²s

Question. Simplify : (5x²p)³
Answer : 125x⁶p³

Question. Find the value of (5x + 7y) if x = 3 and y = 2.
Answer : 29

Question. How much is (√19 + √17) (√19 – √17) ?
Answer : 2

Question. Find (4/3 m + 3/4 n) (4/3 m - 3/4 n) 
Answer : 16/9 m² - 9/16 n²

Question. Find the value of (2/3 m - 3/2 n)² + 2mn
Answer : 4/9 m² + 9/4 n²

Question. Subtract : 9a – 6ab + 3b + 5 from 12a – 9ab + 5b – 3.
Answer : 3a – 3ab + 2b – 8

Question. If x = 3 and y = 5. Find x² + y².
Answer : 34

Question. Add ab – bc, bc – ca, ca – ab.
Answer : 0

Question. Identify the coefficients in the algebric expression 3xyz² – 2zy.
Answer : (3, –2)

Question. Find the value of 47² – 43².
Answer : 360

Question. Find the product of (3n – 5p) (3n + 5p)
Answer : 9n² – 25p²

Please click the below link to access CBSE Class 8 Algebraic Expressions and Identities Worksheet (3)