1) p^2 + 16p + 64 = (p+8)^2
2) a^3 - 25a = a(a^2-5^2) = a(a-5)(a+5)
3) -49 + 100a^2 = (10a)^2-7^2 = (10a-7)(10a+7)
4) m^3 - 8 = m^3 - 2^3 = (m - 2)(m^2 + 2m + 4)
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Answers & Comments
1) p^2 + 16p + 64 = (p+8)^2
2) a^3 - 25a = a(a^2-5^2) = a(a-5)(a+5)
3) -49 + 100a^2 = (10a)^2-7^2 = (10a-7)(10a+7)
4) m^3 - 8 = m^3 - 2^3 = (m - 2)(m^2 + 2m + 4)