Chapter 5: Q.216 (page 537)

In the following exercises, square each binomial using the Binomial Squares Pattern.
${(w + 4)}^{2}$

Short Answer

Expert verified

The square of the binomial is $w^{2} + 8 w + 16$

Step by step solution

Step 1. Given Information

Given binomial is $(w + 4)$

The square of the binomial is to be determined using the Binomial Squares Pattern.

Step 2. Calculation

According to the Binomial Squares Pattern, ${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$

Using the Pattern,

${(w + 4)}^{2} = {(w)}^{2} + 2 (w) (4) + {(4)}^{2} {(w + 4)}^{2} = w^{2} + 8 w + 16$

Step 3. Conclusion

The square of the binomial is given by ${(w + 4)}^{2} = w^{2} + 8 w + 16$

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In the following exercises, square each binomial using the Binomial Squares Pattern.
${(w + 4)}^{2}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Conclusion

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Short Answer

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Most popular questions from this chapter

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In the following exercises, square each binomial using the Binomial Squares Pattern.
${(w + 4)}^{2}$