find the product of (-d + e)(4e + d). which statements are true? check all that apply.\nthere are 2 terms in…
find the product of (-d + e)(4e + d). which statements are true? check all that apply.\nthere are 2 terms in the product.\nthere are 3 terms in the product.\nthere are 4 terms in the product.\nthe product is degree 1.\nthe product is degree 2.\nthe product is degree 4.
Answer
Explanation:
Step1: Use FOIL method
[ \begin{align*} (-d + e)(4e + d)&=-d\times4e - d\times d+e\times4e+e\times d\ &=- 4de - d^{2}+4e^{2}+de \end{align*} ]
Step2: Combine like - terms
[ \begin{align*} -4de - d^{2}+4e^{2}+de&=-d^{2}+4e^{2}+(-4de + de)\ &=-d^{2}+4e^{2}-3de \end{align*} ] The product has 3 terms. The highest - power of the variables in the product is 2 (since we have $d^{2}$ and $e^{2}$ terms).
Answer:
There are 3 terms in the product. The product is degree 2.