Algebraic Expre...

What is the result when we multiply by ?

If 4p + 5q = 24 and pq = 8, find the value of 16p² + 25q².

Simplify the following expression:

The square of (5xy - 7x) is equal to

If y² + = 79, find the value of .

If 2m - 9n = 12 and mn = -2, then the value of 4m² + 81n² is

The product of and gives

Find the missing term in the following problem.

= + _______

What should be added to to get ?

Simplify the following expression:

What must be added to 16y² - 4y + 8 to get 6y² - 2y - 4?

If , find the value of .

Multiply and .

Simplify the following expression:

Find the value of 'a' if and xy = 2.

Thomas is making a cuboidal box in his craft class at the school whose length and breadth are 7ab and 4a²b²c². If the volume of the box is 84a³b⁴c⁵, find the height of the box.

Suhail is a postman. He receive money for his work based on a formula, which is 3l(4l - 5) + 3 and is calculated in rupees, where l is the number of letters he delivers. If he delivers 5 letters on Monday, then how much amount of money will he be paid?

Nikkie is making two rectangular boxes of length, breadth and height as 5a, 3a², 7a⁴ and xy, 2x²y, 2xy², respectively. If she joins them together to make another rectangular box, then what will be the volume of the new box?

Sumit opened a new account in ABS bank. In the first month, he deposited Rs. p in his account. In the second month, he deposited Rs. p² money in his account. In the third month, he deposited the cube of the amount deposited by him in the first month. In the fourth month, he deposited money equal to the product of amounts deposited by him in the last three months. The amount deposited in the fourth month is

In an electronics shop, a refrigerator costs 3a - 7b + 6, a television costs 5a + 2b + 8 and a music system costs a + 5b + 6. If a customer pays (2)²a + (4)² to the shopkeeper for all of these, how much amount does he need to pay more?

Directions: Study the following statements and choose the correct option.

Statement I: The value of the product at m = -1 and n = 3 is -432

Statement II: The value of is 1.

Fill in the blanks.

(A) A factor which occurs in each term is called the ____ factor.
(B) The representation of an expression as the product of its factors is called ____.
(C) (y + a)(y + b) = y² + (a + b)y + ____
(D) A/An ____ is formed by the product of variables and constants.