Answer:
Answer【Answer】:
1. (12 + x)^2
2. (10 + 3y)^2
3. (13v + z)^2
4. 16a^2 + 136ab + 189b^2
5. 49c^2 - 126cd^2 + 81d^4
【Explanation】:
1. The expression \(x^2+24x+144\) can be factored as \((12 + x)^2\), which is a perfect square trinomial.
2. The expression \(100+60y+9y^2\) can be factored as \((10 + 3y)^2\), which is another perfect square trinomial.
3. The expression \(z^2+26zv+169v^2\) can be factored as \((13v + z)^2\), which is also a perfect square trinomial.
4. The expression \(16a^2+136ab+189b^2\) cannot be factored further, so it remains as \(16a^2 + 136ab + 189b^2\).
5. The expression \(49c^2-126cd^2+81d^4\) cannot be factored further, so it remains as \(49c^2 - 126cd^2 + 81d^4\).
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Answers & Comments
Answer:
Answer【Answer】:
1. (12 + x)^2
2. (10 + 3y)^2
3. (13v + z)^2
4. 16a^2 + 136ab + 189b^2
5. 49c^2 - 126cd^2 + 81d^4
【Explanation】:
1. The expression \(x^2+24x+144\) can be factored as \((12 + x)^2\), which is a perfect square trinomial.
2. The expression \(100+60y+9y^2\) can be factored as \((10 + 3y)^2\), which is another perfect square trinomial.
3. The expression \(z^2+26zv+169v^2\) can be factored as \((13v + z)^2\), which is also a perfect square trinomial.
4. The expression \(16a^2+136ab+189b^2\) cannot be factored further, so it remains as \(16a^2 + 136ab + 189b^2\).
5. The expression \(49c^2-126cd^2+81d^4\) cannot be factored further, so it remains as \(49c^2 - 126cd^2 + 81d^4\).