(За + 2b)^3 - (За – 2b)^3 = ?
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0
Answer:
4b³
Step-by-step explanation:
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Answered by
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Step-by-step explanation:
Use Difference of Cubes: {a}^{3}-{b}^{3}=(a-b)({a}^{2}+ab+{b}^{2})a
3
−b
3
=(a−b)(a
2
+ab+b
2
).
(3a+2b-(3a-2b))({(3a+2b)}^{2}+(3a+2b)(3a-2b)+{(3a-2b)}^{2})(3a+2b−(3a−2b))((3a+2b)
2
+(3a+2b)(3a−2b)+(3a−2b)
2
)
2 Remove parentheses.
(3a+2b-3a+2b)({(3a+2b)}^{2}+(3a+2b)(3a-2b)+{(3a-2b)}^{2})(3a+2b−3a+2b)((3a+2b)
2
+(3a+2b)(3a−2b)+(3a−2b)
2
)
3 Collect like terms.
((3a-3a)+(2b+2b))({(3a+2b)}^{2}+(3a+2b)(3a-2b)+{(3a-2b)}^{2})((3a−3a)+(2b+2b))((3a+2b)
2
+(3a+2b)(3a−2b)+(3a−2b)
2
)
ANSWER:
4b{(3a+2b)^2+(3a+2b)(3a-2b)+(3a-2b)^2}
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