Question

Square the binomial.(3x – 7)^2simplify your answer

Answer 1

To square the binomial (3x – 7)^2, use binomial expansion formula resulting in 9x^2 - 42x + 49 after combining the squared terms and the product of the two terms.

Step-by-step explanation:

To square the binomial (3x – 7)^2, we follow the process of binomial expansion which involves squaring both the first term, the last term, and multiplying the product of the two terms by 2. Applying the formula (a - b)^2 = a^2 - 2ab + b^2, we get:

1. Square the first term: (3x)^2 = 9x^2
2. Square the last term: (-7)^2 = 49
3. Multiply the product of the two terms by 2: 2 × (3x) × (-7) = -42x
4. Combine all terms: 9x^2 - 42x + 49

Therefore, the simplified form of (3x – 7)^2 is 9x^2 - 42x + 49.

Answer 2

`9x^2-42x+49`

Step-by-step explanation:

Here, we want to square the binomial

We proceed as follows:

`\begin{gathered} (3x-7)^2\text{ = (3x-7)(3x-7)} \\ \end{gathered}`

We can further breakdown this as follows:

`\begin{gathered} 3x(3x-7)-7(3x-7) \\ =9x^2-21x-21x+49 \\ =9x^2-42x+49 \end{gathered}`