Describe how the following expressions are obtained? x²y

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(a)

Describe how the following expressions are obtained? 4x² - 5x

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(a)

Get the algebraic expressions in the following cases using variables, constants and arithmetic operations - Number 5 added to three times the product of numbers m and n

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Get the algebraic expressions in the following cases using variables, constants and arithmetic operations - Product of numbers y and z subtracted from 10 

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 Identify the terms and their factors in the following expressions. Show that the terms and factors by tree diagrams.  y - y³

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Identify terms and factors in the expressions given below: - 4x + 5

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Write the like terms in the expression
4x² yz + 7xy²z - 14xyz + 7x²yz² + 14xyx² - 15xy²z+ 10zxy² +13y² xz

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(a)

Subtract the following expressions:- a²- ab from b² + ab

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Think of atleast two situations in each of which you need to form two algebraic expressions and add or subtract them.
Ravi's father's represent age is 4 times Ravi's age. Ravi's grandfather's age is 15 yr more than the sum of Ravi's age and Ravi's father's age. How do you find Ravi's grandfather's age?

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Simplify these expressions and find their values, if x = 3, a = - 1, b = - 2.
10- 3b- 4- 5b

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Simplify: 2x²+ x + 7 + 4(x - 5). (given x = 3)

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Add:
mn + 5 - 2 and mn + 3

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Subtract the sum of - 3x³y²+ 2x²y³ and - 3x²y³5y⁴ from X⁴ + x³y² + .x²y³ + y⁴.

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Find the value of the following expressions at a =1 and b = - 2:
a² + b² + 3ab

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(a)

Find the value of the following expressions, when n =-2:n³ + 5n² + 5n - 2.

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(a)