Write the coefficients of xy in the following polynomials.
(i) 4yx²
(ii) 2X²+xy

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(a)

Classify the following as monomials, binomials and trinomials \(2{ a }^{ 2 }cb+\frac { 1 }{ 2 } cb{ a }^{ 2 },b+1,{ a }^{ 2 }b+{ b }^{ 2 }c+{ c }^{ 2 }a\)

5

(a)

Evaluate using suitable identities.
(i) (48)²
(ii) 181²-19²
(iii) 497 x 505
(iv) 2.07 x 1.93

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(a)

Find the product of the following binomials.
\(\left( \frac { x-y }{ 2 } \right) \left( \frac { x+y }{ 2 } \right) \)

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(a)

Using the formula for squaring a binomial, evaluate the following.(199)²

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(a)

Make the following expressions a perfect square 25x² + 30x + 9

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(a)

Evaluate using suitable identities
(i) (48)²
(ii) 181²-19²
(iii) 497x 505
(iv) 2.07x1.93

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(a)

By using suitable identity, evaluate \({ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } ,if\ x+\frac { 1 }{ x } =5\quad \)

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(a)

Using suitable identities evaluate the following:
(a)(52)²
(b)(1005)²
(c)(9.9)²
(d)10.1\(\times\)10.2

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(a)

A garden is in the shape of a square as shown adjacent. The area of the square  ABCD is 289 m² with each side (x + 4) m, Based on above information, answer the following questions:
(a) Find the value of x.
(b) Find the side of the square-shaped garden.
(c) What is the need of the garden?

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(a)

The value of p for 51²- 49²= 100p is 2, Is it true or false

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(a)

One day, Sahil went to playa cricket tournament (organised in a sports complex) along with his two friends Rahul and Sunil. Someone stole Sahil's bicycle but Rahul and Sunil helped him to buy a new one bicycle contributing rs(2x +80) and rs (8x + 20), respectively, If the bicycle costs rs. 2100,
(a) what were the amount given by Rahul and Sunil to Sahil?
(b) what are the values depicted by Rahul and Sunil here?

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(a)