a) 5p^2+10p = 5p(p+2)
b) 3x^2y^2+9xy = 3xy(xy+3)
c) 15a^2-13a-20 = (5a - 4)(3a + 5)
d) 3py(4p+3-2y)
e) (35a^2+7a^2b^2)+(5b+b^3) = 7a^2(5+b^2)+b(5+b^2) = (7a^2+b)(5+b^2)
f) (10b^2а-15b^2)+(12b-8аb)+(6а-9) = 5b^2(2а-3)-4b(2а-3)+3(2а-3) = (2а-3)(5b^2-4b+3)
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Answers & Comments
a) 5p^2+10p = 5p(p+2)
b) 3x^2y^2+9xy = 3xy(xy+3)
c) 15a^2-13a-20 = (5a - 4)(3a + 5)
d) 3py(4p+3-2y)
e) (35a^2+7a^2b^2)+(5b+b^3) = 7a^2(5+b^2)+b(5+b^2) = (7a^2+b)(5+b^2)
f) (10b^2а-15b^2)+(12b-8аb)+(6а-9) = 5b^2(2а-3)-4b(2а-3)+3(2а-3) = (2а-3)(5b^2-4b+3)