Assertion (A): (a − b)² and (b − a)² give the same expansion. Reason (R): squaring removes the effect of the sign of (a − b). Which is correct?

Question

Accepted Answer

Both A and R are true, and R correctly explains A. (a−b)² = a² − 2ab + b² and (b−a)² = b² − 2ab + a² are identical. Since (b−a) = −(a−b) and squaring a number and its negative give the same result, R correctly explains A.

Assertion (A): $(a - b)^{2}$ and $(b - a)^{2}$ give the same expansion. Reason (R): squaring removes the effect of the sign of $(a - b)$ . Which is correct?

Step-by-Step Solution

Key idea: Adding and subtracting expressions

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More Class 8 Algebraic Expressions and Identities practice

Assertion (A): (a−b)2 and (b−a)2 give the same expansion. Reason (R): squaring removes the effect of the sign of (a−b). Which is correct?

Step-by-Step Solution

Key idea: Adding and subtracting expressions

Master this chapter in 30 minutes a day.

More Class 8 Algebraic Expressions and Identities practice

Assertion (A): $(a - b)^{2}$ and $(b - a)^{2}$ give the same expansion. Reason (R): squaring removes the effect of the sign of $(a - b)$ . Which is correct?