(10m-n)^3
(a+4b)^3
(s+3t)^3
(3a^2-4)^3
(4x-1)^3
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Answer:
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Answer:
1. (10m-n)³ = (a-b)³ (identity)
=a³-b³-3ab(a-b)
=(10m)³-(n)³-(3*10m*n)(10m-n)
=1000m³-n³-30mn(10m-n)
=1000m³-n³-300m²n+30mn² answer.
2. (a+4b)³ = (a+b)³
=a³+b³+3ab(a+b)
=(a)³+(4b)³+(3*a*4b)(a+4b)
=a³+64b³+12ab(a+4b)
=a³+64b³+12a²b+48ab² answer.
3. (s+3t)³ = (a+b)³
=a³+b³+3ab(a+b)
=(s)³+(3t)³+(3*s*3t)(s+3t)
=s³+27t³+9st(s+3t)
=s³+27t³+9s²t+27st²
4. (3a²-4)³ = (a-b)³
=a³-b³-3ab(a-b)
=(3a²)³-(4)³-(3*3a²*4)(3a²-4)
=729a⁶-64-108a²(3a²-4)
=729a⁶-64-972a⁴+432a² answer.
5. (4x-1)³ = (a-b)³
=a³-b³-3ab(a-b)
=(4x)³-(1)³-(3*4x*1)(4x-1)
=64x³-1-12x(4x-1)
=64x³-1-48x²+12x answer.
Step-by-step explanation:
hope it helps.
it took a lot of hard work. so mark mine as brainliest
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