Find and correct the errors in the statement: (y − 3)² = y² − 9

Open in App

Solution

L.H.S = (y − 3)² = (y)² − 2(y)(3) + (3)² [(a − b)² = a² − 2ab + b²]

= y² − 6y + 9 ≠ R.H.S

The correct statement is (y − 3)² = y² − 6y + 9

Suggest Corrections

Similar questions

Q. Question 11
Find and correct the errors in the statement:

(y - 3)^{2} = y^{2} - 9

Q. Question 11
Find and correct the errors in the statement:

(y - 3)^{2} = y^{2} - 9

Q. Find and correct errors of the following mathematical expressions:

(y - 3)^{2} = y^{2} - 9

Find and correct the errors in the following mathematical statement. Substituting x = −3 in

(a) x² + 5x + 4 gives (−3)² + 5 (−3) + 4 = 9 + 2 + 4 = 15

(b) x² − 5x + 4 gives (−3)² − 5 (−3) + 4 = 9 − 15 + 4 = −2

Question 10(iii)
Find and correct the errors in the following mathematical statement. Substituting $x = - 3$ in
$x^{2} + 5 x g i v e s (- 3)^{2} + 5 (- 3) = - 9 - 15 = - 24$

Join BYJU'S Learning Program

Find and correct the errors in the statement: (y − 3)2 = y2 − 9

L.H.S = (y − 3)2 = (y)2 − 2(y)(3) + (3)2 [(a − b)2 = a2 − 2ab + b2] = y2 − 6y + 9 ≠ R.H.S The correct statement is (y − 3)2 = y2 − 6y + 9

Find and correct the errors in the statement: (y − 3)² = y² − 9

L.H.S = (y − 3)² = (y)² − 2(y)(3) + (3)² [(a − b)² = a² − 2ab + b²]

= y² − 6y + 9 ≠ R.H.S

The correct statement is (y − 3)² = y² − 6y + 9