Assertion (A): 5x5 - 20x3 in the form of factors is 5x3(x2 - 4). Assertion (A): 5x^5 - 20x^3 in the form of factors is 5x^3(x^2 - 4). Reason (R): 5x^5 - 20x^3 = 5x^3(x^2 - 4) = 5x^3(x + 2)(x - 2). 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.

A is false, R is true. Explanation Given, 5x5 - 20x3 = 5x3(x2 - 4) = 5x3(x2 - 22) = 5x3(x - 2)(x + 2) 5x5 - 20x3 in the form of factors is 5x3(x - 2)(x + 2). Hence, Assertion (A) is false, Reason (R) is true.

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Mathematics

Assertion (A): 5x⁵ - 20x³ in the form of factors is 5x³(x² - 4).
Reason (R):
5x⁵ - 20x³
= 5x³(x² - 4)
= 5x³(x + 2)(x - 2).
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Factorisation

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Answer

A is false, R is true.

Explanation

Given,

5x⁵ - 20x³

= 5x³(x² - 4)

= 5x³(x² - 2²)

= 5x³(x - 2)(x + 2)

5x⁵ - 20x³ in the form of factors is 5x³(x - 2)(x + 2).

Hence, Assertion (A) is false, Reason (R) is true.

Answered By

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Mathematics

Assertion (A): 5x⁵ - 20x³ in the form of factors is 5x³(x² - 4).
Reason (R):
5x⁵ - 20x³
= 5x³(x² - 4)
= 5x³(x + 2)(x - 2).
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Factorisation

Answer

Related Questions

Assertion (A): If 2x - 3y = 10 and xy = 16, then value of - 27y³ + 8x³ = 3880.
Reason (R): x³ - y³ = (x - y) (x² + xy + y²).
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Assertion (A): a(2x - 3y) + b(3y - 2x)² = a(2x - 3y) - b(2x - 3y)²
Reason (R): +b(3y - 2x)² is not equal to -b(2x - 3y)².
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Assertion (A): 113³ + 15³ is divisible by 98.
Reason (R): Factors of a³ + b³ are (a + b) and (a² - ab + b²).
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Mathematics

Assertion (A): 5x5 - 20x3 in the form of factors is 5x3(x2 - 4).Reason (R):5x5 - 20x3= 5x3(x2 - 4)= 5x3(x + 2)(x - 2).A is true, R is false.A is false, R is true.Both A and R are true.Both A and R are false.

Factorisation

Answer

Related Questions

Assertion (A): If 2x - 3y = 10 and xy = 16, then value of - 27y3 + 8x3 = 3880.Reason (R): x3 - y3 = (x - y) (x2 + xy + y2).A is true, R is false.A is false, R is true.Both A and R are true.Both A and R are false.

Assertion (A): a(2x - 3y) + b(3y - 2x)2 = a(2x - 3y) - b(2x - 3y)2Reason (R): +b(3y - 2x)2 is not equal to -b(2x - 3y)2.A is true, R is false.A is false, R is true.Both A and R are true.Both A and R are false.

Assertion (A): 1133 + 153 is divisible by 98.Reason (R): Factors of a3 + b3 are (a + b) and (a2 - ab + b2).A is true, R is false.A is false, R is true.Both A and R are true.Both A and R are false.

Assertion (A): 5x⁵ - 20x³ in the form of factors is 5x³(x² - 4).
Reason (R):
5x⁵ - 20x³
= 5x³(x² - 4)
= 5x³(x + 2)(x - 2).
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Assertion (A): If 2x - 3y = 10 and xy = 16, then value of - 27y³ + 8x³ = 3880.
Reason (R): x³ - y³ = (x - y) (x² + xy + y²).
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Assertion (A): a(2x - 3y) + b(3y - 2x)² = a(2x - 3y) - b(2x - 3y)²
Reason (R): +b(3y - 2x)² is not equal to -b(2x - 3y)².
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Assertion (A): 113³ + 15³ is divisible by 98.
Reason (R): Factors of a³ + b³ are (a + b) and (a² - ab + b²).
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.