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What do we get after factorising x3 + 8y3+ z3 – 4xyz?
  • a)
    (x + 2y + z) (x2 + 4y2 + z2 – 5xy – 2yz – zx)
  • b)
    (x + 2y + z) (x2 + 4y2 + z2 – 4xy – 2yz – zx)
  • c)
    (x + 2y + z) (x2 + 4y2 + z2 – 2xy – 2yz – zx)
  • d)
    (x + 2y + z) (x2 + 4y2+ z2 – 3xy – 2yz – zx)
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z...
We know that a3 + b3 + c3 – 3abc = (a + b - c)(a2 + b2 + c2 – ab – bc – ca)
In x3 + 8y3 + y3 – 6xyz, a = x, b = 2y and c = z
By using the above equation, we get x3 + 8y3 + z3 – 4xyz = (x + 2y + z) (x2 + (2y)2 + z2 – x(2y) – (2y)(z) – zx)
= (x + 2y + z) (x2 + 4y2 + z2 – 2xy – 2yz – zx).
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Most Upvoted Answer
What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z...
After factorizing x^3 + 8y^3 + z^3, we get (x + 2y + z)(x^2 - 2xy + 4y^2 + xz - 2yz + z^2).
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Community Answer
What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z...
We know that a3 + b3 + c3 – 3abc = (a + b - c)(a2 + b2 + c2 – ab – bc – ca)
In x3 + 8y3 + y3 – 6xyz, a = x, b = 2y and c = z
By using the above equation, we get x3 + 8y3 + z3 – 4xyz = (x + 2y + z) (x2 + (2y)2 + z2 – x(2y) – (2y)(z) – zx)
= (x + 2y + z) (x2 + 4y2 + z2 – 2xy – 2yz – zx).
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What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z) (x2+ 4y2+ z2– 5xy – 2yz – zx)b)(x + 2y + z) (x2+ 4y2+ z2– 4xy – 2yz – zx)c)(x + 2y + z) (x2+ 4y2+ z2– 2xy – 2yz – zx)d)(x + 2y + z) (x2+ 4y2+ z2– 3xy – 2yz – zx)Correct answer is option 'C'. Can you explain this answer?
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What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z) (x2+ 4y2+ z2– 5xy – 2yz – zx)b)(x + 2y + z) (x2+ 4y2+ z2– 4xy – 2yz – zx)c)(x + 2y + z) (x2+ 4y2+ z2– 2xy – 2yz – zx)d)(x + 2y + z) (x2+ 4y2+ z2– 3xy – 2yz – zx)Correct answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z) (x2+ 4y2+ z2– 5xy – 2yz – zx)b)(x + 2y + z) (x2+ 4y2+ z2– 4xy – 2yz – zx)c)(x + 2y + z) (x2+ 4y2+ z2– 2xy – 2yz – zx)d)(x + 2y + z) (x2+ 4y2+ z2– 3xy – 2yz – zx)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z) (x2+ 4y2+ z2– 5xy – 2yz – zx)b)(x + 2y + z) (x2+ 4y2+ z2– 4xy – 2yz – zx)c)(x + 2y + z) (x2+ 4y2+ z2– 2xy – 2yz – zx)d)(x + 2y + z) (x2+ 4y2+ z2– 3xy – 2yz – zx)Correct answer is option 'C'. Can you explain this answer?.
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Here you can find the meaning of What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z) (x2+ 4y2+ z2– 5xy – 2yz – zx)b)(x + 2y + z) (x2+ 4y2+ z2– 4xy – 2yz – zx)c)(x + 2y + z) (x2+ 4y2+ z2– 2xy – 2yz – zx)d)(x + 2y + z) (x2+ 4y2+ z2– 3xy – 2yz – zx)Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z) (x2+ 4y2+ z2– 5xy – 2yz – zx)b)(x + 2y + z) (x2+ 4y2+ z2– 4xy – 2yz – zx)c)(x + 2y + z) (x2+ 4y2+ z2– 2xy – 2yz – zx)d)(x + 2y + z) (x2+ 4y2+ z2– 3xy – 2yz – zx)Correct answer is option 'C'. Can you explain this answer?, a detailed solution for What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z) (x2+ 4y2+ z2– 5xy – 2yz – zx)b)(x + 2y + z) (x2+ 4y2+ z2– 4xy – 2yz – zx)c)(x + 2y + z) (x2+ 4y2+ z2– 2xy – 2yz – zx)d)(x + 2y + z) (x2+ 4y2+ z2– 3xy – 2yz – zx)Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z) (x2+ 4y2+ z2– 5xy – 2yz – zx)b)(x + 2y + z) (x2+ 4y2+ z2– 4xy – 2yz – zx)c)(x + 2y + z) (x2+ 4y2+ z2– 2xy – 2yz – zx)d)(x + 2y + z) (x2+ 4y2+ z2– 3xy – 2yz – zx)Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice What do we get after factorising x3+ 8y3+ z3– 4xyz?a)(x + 2y + z) (x2+ 4y2+ z2– 5xy – 2yz – zx)b)(x + 2y + z) (x2+ 4y2+ z2– 4xy – 2yz – zx)c)(x + 2y + z) (x2+ 4y2+ z2– 2xy – 2yz – zx)d)(x + 2y + z) (x2+ 4y2+ z2– 3xy – 2yz – zx)Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice ACT tests.
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