ACTIVITY 5 : Factoring Sum and Difference of Two Cubes
Factor out theeach binomial completely.
7.) a³b³ - y³
8.) 24 + 54c³
9.) 1|8x3 - 216
10.) 343a⁶ + 1|27y⁹
click the photo para po maliinawan po kayo
pasagot po please, Kung 'di niyo alam yung sagot wag na lang po mag sagot.
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Factor out theeach binomial completely.
7.) a³b³ - y³
8.) 24 + 54c³
9.) 1|8x3 - 216
10.) 343a⁶ + 1|27y⁹
click the photo para po maliinawan po kayo
pasagot po please, Kung 'di niyo alam yung sagot wag na lang po mag sagot.
Nonsense answer=Report
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Answer:
1.1 Factoring: a3b3-y3
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0-b3 =
a3-b3
Check : a3 is the cube of a1
Check : b3 is the cube of b1
Check : y3 is the cube of y1
Factorization is :
(ab - y) • (a2b2 + aby + y2)
Trying to factor a multi variable polynomial :
1.2 Factoring a2b2 + aby + y2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
(ab - y) • (a2b2 + aby + y2)