Monicaa Abhijit Solutions for Chapter: Algebraic Expressions and Identities: Part I, Exercise 5: EXERCISE 5.5

Simplify the following:

$(2l+3)(l^2-5l)-(l-2)(3l^2+4l)$

Simplify the following:

$(a+2)(a^2-2a+4)-(a-2)(a^2+2a+4)$

Simplify the following:

$(x^2-2x+3)(3x^2+5x-7)-(3x^2-2x+5)(2x+5)$

Find the following product and also find its value for $p=1,q=-1,r=2$.

$(p^2-8p+4)\times (5p+2)$

Find the following product and also find its value for $p=1,q=-1,r=2$

$\frac{1}{2}(4q^2+5r^2)\times (4q^2-5r^2)$

Find the following product and also find its value for $p=1,q=-1,r=2$.

$12p^2{q}^2\times (3p-2r)\times (2q-p)$

From the product of  $(2l+3m)$ and $(3l+4m)$ subtract the product of $(7l+3m)$ and $(l+2m)$.

Add the product of $9x^4(x^2-2),5x^6(2x+3)$ and $(x^3-3x^2)(4x^2-3x^3)$.