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Question

Which among the following algebraic expressions cannot be further simplified?

A
3×(a+b)+6ab+8a
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B
5x+4y+7×(x+y)
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C
81p+49q+64r
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D
1+3+5+6m
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Solution

The correct option is C 81p+49q+64r
In option (a.), we have 3×(a+b)+6ab+8a. on opening the bracket we get 3a+3b+6ab+8a. Now, we clearly see that 3a and 8a are like terms and hence, given expression can be simplified to 11a+3b+6ab.

In option (b.), we have 5x+4y+7×(x+y).
on opening the bracket we get 5x+4y+7x+7y. Now, we clearly see that 5x and 7x; 4y and 7y are like terms and hence, given expression can be simplified to 12x+11y.

In option (c.), we have 81p+49q+64r. As all of the terms in this algebraic expression are unlike terms, it cannot be simplified any further.

In option (d.), we have 1+3+5+6m. This algebraic expression can be further simplified by adding the constant terms together. i.e. 1+3+5+6m=6m+7

Therefore, only the expression given in option(c.) cannot be further simplified.

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