Louise’s answer is not correct
Step-by-step explanation:
Let us revise how to solve (ax + b)²
The answer of square a binomial contains three terms: (1st)² + 2(1st)(2nd) + (2nd)²
∵ The bracket is (5x³ + 3)²
- Square the first term
∴ The first term of the answer = (5x³)² = (5)²(x³)² = [tex]25x^{6}[/tex]
- Multiply the 1st , the 2nd term and 2
∴ The second term of the answer = 2(5x³)(3) = 2(5)(3)x³ = 30x³
- Square the 2nd term
∴ The third term of the answer = (3)² = 9
∴ (5x³ + 3)² = [tex]25x^{6}[/tex] + 30x³ + 9
∵ Louise’s answer is (5x³)² + (3)² = [tex]25x^{6}[/tex] + 9
- By comparing the his answer with the answer above, he did
not find the middle term
∴ Louise’s answer is not correct
Learn more:
You can learn more about expand a binomial in brainly.com/question/2334388
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Answer:
Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.
Step-by-step explanation:
Sample Response ^^^
