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Simplify

(45)2

Short Answer

Expert verified

The value of the given expression452 after simplification is 2185.

Step by step solution

01

Step 1. Write the identity of (a−b)2.

The identity of (ab)2is:

(ab)2=a22ab+b2

02

Step 2. Simplify the given expression.

The value of the given expression after simplification is:

452=422(4)5+52((ab)2=a22ab+b2)=1685+5=16+585=2185

03

Step 3. Conclusion

Therefore, the value of the given expression452 after simplification is 2185.

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