simplify (4a-3)³-(4a+3)³
Answers
Answered by
24
Answer:
here is your answer mate...
Step-by-step explanation:
(4a-3)^3=(4a)^3-3(4a)^2b+3(4a)(3)^2-(3)^3
= 64a^3 - 48a^2b + 108a-27
(4a+3)^3=(4a)^3+3(4a)^2b+3(4a)(3)^2+(3)^3
= 64a^3 + 48a^2b + 108a+27
(4a-3)^3 + (4a+3)^3 = 128 a^3 + 216 a
plz plz plz mark me as brainliest plzz...
Answered by
17
Answer:
Step-by-step explanation:
Formula:
a^3-b^3 = (a-b) (a^2+b^2+ab)
Solution:
let (4a-3) be a
and
(4a+3) be b
then
a^3-b^3 = (a-b) (a^2+b^2+ab)
(4a-3)^3 - (4a+3)^3
step 1 = [(4a-3) - (4a+3) [(4a-3)^2 + (4a+3)^2+(4a-3) (4a+3)]
step 2 = [4a-3-4a-3] [(16a^2+9) + (16a^2+9) + (16a^2+12a-12a-9)]
step 3 = [-6] [16a^2+9+16a^2+9+16a^2+12a-12a-9]
step 4 = [-6] [48a^2+9]
step 5 = (-288a^2-54)
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