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Find the product. (25x 2 + 20xy + 16y 2)(5x - 4y)
9 months ago
Q:
Find the product. (25x 2 + 20xy + 16y 2)(5x - 4y)
Accepted Solution
A:
Hello! And thank you for your question!
First Distribute:
25xβ^2ββ(5xβ4y)+20xy(5xβ4y)+16yβ^2ββ(5xβ4y)
Then distribute again:
125xβ^3βββ100xβ^2ββy+20xy(5xβ4y)+16yβ^2ββ(5xβ4y)
Distrubute another time:
125xβ^3βββ100xβ^2ββy+100xβ^2ββyβ80xyβ^2ββ+16yβ^2ββ(5xβ4y)
And one last time distrubute:
125xβ^3βββ100xβ^2ββy+100x^2ββyβ80xyβ^2ββ+80yβ^2ββxβ64yβ3ββ
After distributingΒ Simplify:
125xβ^3βββ80xyβ^2ββ+80yβ^2ββxβ64yβ3ββ
Combine like terms:
125xβ^3ββ+(β80xyβ^2ββ+80xyβ^2ββ)β64yβ3ββ
Lastly simplify once more:
125x^3 - 64y^2
Final Answer:
125x^3 - 64y^2