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Consider some terms: $3 p 2 q 2 − 4 p q + 5, − 10 p 2 q 2, 15 + 9 p q + 7 p 2 q 2$
The addition of above terms gives $5 p q + 20$ .

Is the above statement true?

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False

True

answer is A.

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Detailed Solution

Given terns are

3 p 2 q 2 − 4 p q + 5, − 10 p 2 q 2, 15 + 9 p q + 7 p 2 q 2

.
Like terms are those terms which have the same variables and powers.
e.g.,

(A x, − A x) and (A, 2 A)

Now, adding these terms, we get

3 p 2 q 2 − 4 p q + 5 + − 10 p 2 q 2 + 15 + 9 p q + 7 p 2 q 2 = 3 p 2 q 2 − 10 p 2 q 2 + 7 p 2 q 2 − 4 p q + 9 p q + 5 + 15 = − 7 p 2 q 2 + 7 p 2 q + 5 p q 2 + 20 = 0 + 5 p q 2 + 20 = 5 p q 2 + 20

Hence, the addition of

3 p 2 q 2 − 4 p q + 5, − 10 p 2 q 2, 15 + 9 p q + 7 p 2 q 2

terms gives

5 p q + 20

.
Hence, the given statement addition of

3 p 2 q 2 − 4 p q + 5, − 10 p 2 q 2, 15 + 9 p q + 7 p 2 q 2

terms gives

5 p q + 20

is true.
Therefore, the correct option is 1.

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