Question

Adrian was given some amount by his parents to arrange a party for his birthday. He planned to spend 1

4

on food, 3

10 on decoration, 3

20

on the return gifts to be given and kept Rs. 3000 for savings.

i. What will be the algebraic equation for the above problem?

a) 1

4

x +

3

10

x − 3

20

x = 3000 b) 1

4

x +

3

10

x +

3

20

x −3000 = 0

c) 1

4

x +

3

10

x +

3

20

x +3000 = x d) 1

4

x +

3

10

x +

3

20

x +3000x = 0

ii. What was the total amount Adrian got from his parents?

a) Rs. 50000 b) Rs. 10000 c) Rs. 30000 d) Rs. 40000

iii. How much amount was spent on food by Adrian?

a) Rs. 25000 b) Rs. 30000 c) Rs. 3000 d) Rs. 2500

iv. How much money was spent on decoration?

a) Rs. 25000 b) Rs. 30000 c) Rs. 3000 d) Rs. 2500

v. How much money was spent on the return gifts?

a) Rs. 15000 b) Rs. 1500 c) Rs. 20000 d) Rs. 2000​

Answer 1

Answer:

Adrian was given some amount by his parents to arrange a party for his birthday. He planned to spend 1

4

on food, 3

10 on decoration, 3

20

on the return gifts to be given and kept Rs. 3000 for savings.

i. What will be the algebraic equation for the above problem?

a) 1

4

x +

3

10

x − 3

20

x = 3000 b) 1

4

Adrian was given some amount by his parents to arrange a party for his birthday. He planned to spend 1

4

on food, 3

10 on decoration, 3

20

on the return gifts to be given and kept Rs. 3000 for savings.

i. What will be the algebraic equation for the above problem?

a) 1

4

x +

3

10

x − 3

20

x = 3000 b) 1

4

Answer 2

Answer:

Given :-

a⁴ - b⁴

Solution :-

\implies \: (a {}^{2} ) {}^{2} \: - \: (b {}^{2} ) {}^{2}⟹(a

2

)

2

−(b

2

)

2

\implies \: (a {}^{2} \: + \: b {}^{2}) \: (a {}^{2} \: - \: b {}^{2} )⟹(a

2

+b

2

)(a

2

−b

2

)

\implies \: (a {}^{2} \: + \: b {}^{2}) \: [(a) {}^{2} \: - \: (b) {}^{2} ]⟹(a

2

+b

2

)[(a)

2

−(b)

2

]

\implies(a {}^{2} \: + \: b {}^{2} ) \: [(a \: + \: b) \: ( a \: + \: b)(a \: - b)]⟹(a

2

+b

2

)[(a+b)(a+b)(a−b)]

\implies \: (a {}^{2} + b {}^{2} )(a \: + \: b) \: (a \: - \: b)⟹(a

2

+b

2

)(a+b)(a−b)

Step-by-step explanation:

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