Are the following monomials like terms?
$- 5 x^{2}$ and $x 12 x$

Yes

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Can't be determined

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Solution

The correct option is A Yes

In the 1st term, $- 5 x^{2}$ , the unknown variable $x$ has a exponent of 2.

The 2nd term can be rearranged as

$x 12 x = 12 \times x \times x = 12 x^{2}$
$∴$ As both the terms has the same unknown with same exponent, these are like terms.
Further, these like terms can be added.
$\Rightarrow - 5 x^{2} + 12 x^{2} = 7 x^{2}$

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Are the following monomials like terms? −5x2 and x12x

The correct option is A Yes In the 1st term, −5x2, the unknown variable x has a exponent of 2. The 2nd term can be rearranged as x12x=12×x×x=12x2 ∴ As both the terms has the same unknown with same exponent, these are like terms. Further, these like terms can be added. ⇒−5x2+12x2=7x2

Are the following monomials like terms?
$- 5 x^{2}$ and $x 12 x$