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Chapter 10: Q8. (page 656)

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

After the first step in solving2x+4=x+5, you would have 2x+4=x2+10x+25炉.

Short Answer

Expert verified

The given sentence is True.

Step by step solution

01

Step 1. Write the identity for a+b2.

The identity fora+b2 is:

a+b2=a2+2ab+b2

02

Step 2. Determine whether the given sentence is true or false.

The given equation is:

2x+4=x+5

The given equation can be written as:

2x+4=x+52x+42=x+52squaringbothsides2x+4=x2+2x5+52鈭�a+b2=a2+2ab+b22x+4=x2+10x+25

03

Step 3. Conclusion

Therefore, the given sentence is true.

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