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Simplify: (x+7)2(x + 7)^2(x+7)2​​
Question

Simplify: (x+7)2(x + 7)^2​​

A.

x2+7x+49x^2+7x+49​​

B.

x2+49x^2+49​​

C.

x2+14x+49x^2+14x+49​​

D.

x2+2x+49x^2+2x+49​​

Correct option is C

Given
Expression = (x+7)2 (x + 7)^2​​
Formula Used
Identity :(a+b)2=a2+2ab+b2: (a + b)^2 = a^2 + 2ab + b^2​​
Solution
Expand the given expression using the formula:
(x+7)2=x2+2×x×7+72(x+7)2=x2+14x+49(x + 7)^2 = x^2 + 2 \times x \times 7 + 7^2 \\(x + 7)^2 = x^2 + 14x + 49​​
Final Answer
So the correct answer is (c)

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