Find and correct the errors in the statement: (3x + 2)² = 3x² + 6x + 4

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Solution

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

= 9x² + 12x + 4 ≠ R.H.S

The correct statement is (3x + 2)² = 9x² + 12x + 4

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Similar questions

Find and correct the errors (if any) in the following expressions:

$i .) (5 x - 2)^{2} = 25 x^{2} + 4 - 20 x$

$i i .) (3 x + 2)^{2} = 3 x^{2} + 6 x + 4$

(3 x + 2)^{2} = 3 x^{2} + 6 x + 4

(3 x + 2)^{2} = 3 x^{2} + 6 x + 4

(3 x + 2)^{2} = 3 x^{2} + 6 x + 4

Find and correct the errors (if any) in the following expressions:

$i .) (5 x - 2)^{2} = 25 x^{2} + 4 - 20 x$

$i i .) (3 x + 2)^{2} = 3 x^{2} + 6 x + 4$ [2 MARKS]

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