Chapter 5: Q.218. (page 537)

Solve the square using the binomial squares pattern.
${(3 x - y)}^{2}$

Short Answer

Expert verified

The solution is $9 x^{2} - 6 x y + y^{2}$ .

Step by step solution

Step 1. Given information.

The given expression is ${(3 x - y)}^{2}$ .

Step 2. Simplify the given expression by using the binomial squares pattern a-b2=a2-2ab+b2.

Solve it as follows:

${(3 x - y)}^{2} = {(3 x)}^{2} - 2 \times 3 x \times y + {(y)}^{2} \Rightarrow 9 x^{2} - 6 x y + y^{2}$

Step 3. Binomial squares expression.

Hence, the binomial squares pattern are $9 x^{2} - 6 x y + y^{2}$ .

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Solve the square using the binomial squares pattern.
${(3 x - y)}^{2}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the given expression by using the binomial squares pattern a-b2=a2-2ab+b2.

Step 3. Binomial squares expression.

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Solve the square using the binomial squares pattern.3x-y2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the given expression by using the binomial squares pattern a-b2=a2-2ab+b2.

Step 3. Binomial squares expression.

One App. One Place for Learning.

Most popular questions from this chapter

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Solve the square using the binomial squares pattern.
${(3 x - y)}^{2}$