NCERT solutions for Mathematics [English] Class 8 chapter 8 - Algebraic Expressions and Identities [Latest edition]

Add the following:

ab − bc, bc − ca, ca − ab

Add the following:

a − b + ab, b − c + bc, c − a + ac

Add the following:

2p²q² − 3pq + 4, 5 + 7pq − 3p²q²

Add the following:

l² + m², m² + n², n² + l², 2lm + 2mn + 2nl

Subtract: 4a − 7ab + 3b + 12 from 12a − 9ab + 5b − 3

Subtract 3xy + 5yz − 7zx from 5xy − 2yz − 2zx + 10xyz.

Subtract 4p²q − 3pq + 5pq² − 8p + 7q − 10 from 18 − 3p − 11q + 5pq − 2pq² + 5p²q

Find the product of the following pair of monomial.

4, 7p

Find the product of the following pair of monomial.

− 4p, 7p

Find the product of the following pair of monomial.

− 4p, 7pq

Find the product of the following pair of monomial.

4p³, − 3p

Find the product of the following pair of monomial.

4p, 0

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths, respectively.

(p, q); (10m, 5n); (20x², 5y²); (4x, 3x²); (3mn, 4np)

Complete the table of products.

Obtain the volume of a rectangular box with the following length, breadth, and height, respectively.

5a, 3a², 7a⁴

Obtain the volume of a rectangular box with the following length, breadth, and height, respectively.

2p, 4q, 8r

Obtain the volume of a rectangular box with the following length, breadth, and height, respectively.

xy, 2x²y, 2xy²

Obtain the volume of a rectangular box with the following length, breadth, and height, respectively.

a, 2b, 3c

Obtain the product of xy, yz, zx.

Obtain the product of a, − a², a³

Obtain the product of 2, 4y, 8y², 16y³

Obtain the product of  a, 2b, 3c, 6abc.

Obtain the product of m, − mn, mnp.

Carry out the multiplication of the expression of the following pair.

4p, q + r

Carry out the multiplication of the expression of the following pair.

ab, a − b

Carry out the multiplication of the expression of the following pair.

a + b, 7a²b²

Carry out the multiplication of the expression of the following pair.

a² − 9, 4a

Carry out the multiplication of the expression of the following pair.

pq + qr + rp, 0

Complete the table.

Find the product.

(a²) × (2a²²) × (4a²⁶)

Find the product.

`(2/3 xy) xx ((-9)/10 x^2y^2)`

Find the product.

`(-10/3 pq^3) xx (6/5p^3q)`

Find the product.

x × x² × x³ × x⁴

Simplify 3x (4x − 5) + 3 and find its values for x = 3.

Simplify 3x (4x −5) + 3 and find its values for x = `1/2.` 

a (a² + a + 1) + 5 and find its values for

1. a = 0,
2. a = 1,
3. a = − 1.

Add: p (p − q), q (q _­­­− r) and r (r ­− p)

Add: 2x (z − x − y) and 2y (z − y − x)

Subtract: 3l (l − 4m + 5n) from 4l (10n − 3m + 2l)

Subtract: 3a (a + b + c) − 2b (a − b + c) from 4c (− a + b + c)

Multiply the binomials.

(2x + 5) and (4x − 3)

Multiply the binomials.

(y − 8) and (3y − 4)

Multiply the binomials.

(2.5l − 0.5m) and (2.5l + 0.5m)

Multiply the binomials.

(a + 3b) and (x + 5)

Multiply the binomials.

(2pq + 3q²) and (3pq − 2q²)

Multiply the binomials.

`(3/4 a^2 + 3b^2) and 4(a^2 - 2/3 b^2)`

Find the Product.

(5 − 2x) (3 + x)

Find the product.

(x + 7y) (7x − y)

Find the product.

(a² + b) (a + b²)

Find the product.

(p² − q²) (2p + q)

Simplify.

(x² − 5) (x + 5) + 25

Simplify.

(a² + 5) (b³ + 3) + 5

Simplify.

(t + s²) (t² − s)

Simplify.

(a + b) (c − d) + (a − b) (c + d) + 2 (ac + bd)

Simplify. 

(x + y) (2x + y) + (x + 2y) (x − y)

Simplify.

(x + y) (x² − xy + y²)

Simplify.

(1.5x − 4y) (1.5x + 4y + 3) − 4.5x + 12y

Simplify.

(a + b + c) (a + b − c)