Operations on Algebraic Expressions

Find each of the following product:

(2.3xy) × (0.1x) × (0.16)

• $0.368x^2y$

• $0.036xy$

• $0.0368x^2y$

Add:

3a − 4b + 4c, 2a + 3b − 8c, a − 6b + c

• 9a-5b-7c

• 5a+3b+4c

• 6a-7b-3c

Subtract:

−6p + q + 3r + 8 from p − 2q − 5r − 8

• 7p-4q+8r+1

• 7p-3q-8r-16

• 8p+4q-5r+9

The two adjacent sides of a rectangle are 5x² − 3y² and x² + 2xy. Find the perimeter.

• 8x²+9y²-8xy

• 6x²-3y²+2xy

• 12x²-6y²+4xy

Find the product:

(3m − 4n) × (2m − 3n)

• 9m²-7mn-9n²

• 16m²-14mn+2n²

• 6m²-17mn+12n²

Evaluate :

(x²y - yz²)²

• x⁴ - x²y²z² - y⁴

• x⁴y² - 2x²y²z² + y²z⁴

• x²y² - 2x²y²z² - y²z²

 $\left(\frac{7}{9}ab^2\right)\times\left(\frac{15}{7}abc^2\right)\times\left(-\frac{3}{5}a^2c\right)$  Find the product :

•  $-a^4b^3c^3$  

•  $a^2b^3c^3$  

•  $a^4b^3c^3$  

Simplify:

(5x + 3)(x − 1)(3x − 2)

• 5x³ - 46x² - 35x + 97

• 15x³ - 16x² - 5x + 6

• 15x³ - 4x² - 9x + 26

Simplify the following using the formula , (a-b)(a+b) :

197 x 203

• 36999

• 39991

• 49991

Simplify the following using the identity :

1.73 × 1.73 − 0.27 × 0.27

• 4.63

• 3.98

• 2.92