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If P(A)=0.4 and P(B)=0.3 and A and B are independent events, then P(A and B) is

August 18, 2026Mathematics

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Answer

\text{B. } 8x^3 - 36x^2 + 54x - 27

4 steps

Ili kupanua na kurahisisha $(2x-3)^3$ , tutatumia fomula ya upanuzi wa binomial $(a-b)^3 = a^3 - 3a^2b + 3ab^2 - b^3$ .

Tambua $a$ na $b$ katika usemi.
Katika usemi $(2x-3)^3$ , tuna $a = 2x$ na $b = 3$ .
Badilisha $a$ na $b$ kwenye fomula ya upanuzi.
$(2x-3)^3 = (2x)^3 - 3(2x)^2(3) + 3(2x)(3)^2 - (3)^3$
Rahisisha kila neno.
$(2x)^3 = 8x^3$ $-3(2x)^2(3) = -3(4x^2)(3) = -36x^2$ $3(2x)(3)^2 = 3(2x)(9) = 54x$ $-(3)^3 = -27$
Unganisha maneno yaliyorahisishwa.
$(2x-3)^3 = 8x^3 - 36x^2 + 54x - 27$
Kulingana na chaguzi zilizotolewa, chaguo linalofanana na jibu hili ni B.

Jibu sahihi ni B.
$\text{B. } 8x^3 - 36x^2 + 54x - 27$

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