Find and correct errors of the following mathematical expressions:ind and correct error
$(3 x + 2)^{2} = 3 x^{2} + 6 x + 4$

Question

Find and correct errors of the following mathematical expressions-ind and correct error -3x-2- -2- - 3x-2- -6x-4

Toppr Admin · Accepted Answer

The statement is incorrect-LHS can be expanded by using formula- -a-b-2-a2-2ab-b2-x2234-3x-2-2-3x-2-2-3x-2-22-9x2-12x-4Therefore the correct statement is-xA0-3x-2-2-9x2-12x-4

Find and correct errors of the following mathematical expressions:ind and correct error(3x+2)2=3x2+6x+4

The statement is incorrect.LHS can be expanded by using formula, (a+b)2=a2+2ab+b2∴(3x+2)2=(3x)2+2(3x)(2)+22=9x2+12x+4Therefore the correct statement is (3x+2)2=9x2+12x+4

Find and correct errors of the following mathematical expressions:ind and correct error
$(3 x + 2)^{2} = 3 x^{2} + 6 x + 4$

The statement is incorrect.
LHS can be expanded by using formula, $(a + b)^{2} = a^{2} + 2 a b + b^{2}$
$∴ (3 x + 2)^{2} = (3 x)^{2} + 2 (3 x) (2) + 2^{2} = 9 x^{2} + 12 x + 4$
Therefore the correct statement is
$(3 x + 2)^{2} = 9 x^{2} + 12 x + 4$