Question

I WILL FAIL PLSSS HEEELP

you must show and check all work on your own paper.

Explain the error:
144x2 - 100
(12x + 10)(12x - 10)
2(6x + 5)(6x - 5)

Answer 1

error in the expression is in the last step.

Explanation:

The error in the expression is in the last step.

The expression 144x^2 - 100 can be factored using the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b).

So, 144x^2 - 100 becomes (12x)^2 - (10)^2, which can be factored into (12x + 10)(12x - 10).

However, the next step in the expression, 2(6x + 5)(6x - 5), is incorrect. This would be the correct factorization if the original expression was 72x^2 - 50, not 144x^2 - 100.

So, the correct factorization of 144x^2 - 100 is (12x + 10)(12x - 10). The expression 2(6x + 5)(6x - 5) is not equivalent to the original expression.

Answer 2

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

The given steps are :

`\qquad \sf  \dashrightarrow \: 144 {x}^(2) - 100`

`\qquad \sf  \dashrightarrow \: (12x + 10)(12x - 10)`

`\qquad \sf  \dashrightarrow \: 2(6x + 5)(6x - 5)`

The error is in third step ~

Correct method :

`\qquad \sf  \dashrightarrow \: (12x + 10)(12x - 10)`

[ take 2 common out of both ]

`\qquad \sf  \dashrightarrow \:2 (6x + 5) \sdot2(6x - 5)`

[ 2 times 2 will be 4 ]

`\qquad \sf  \dashrightarrow \: 4(6x +5 )(6x - 5)`