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A day full of math games & activities. Find one near you.
What is the quotient (125 - 8x3) ÷ (25 + 10x + 4x2)?
-2x + 5, 2x - 5, -2x - 5, 2x + 5
Solution:
We will factorise the 125 - 8x3 using the algebraic identity (a)3 - (b)3 = (a - b)(a2 + ab + b2)
125 - 8x3 can be expressed in the factored form.
(5)3 - (2x)3 = (5 - 2x)(25 + 10x + 4x2)
To find the quotient when (125 - 8x3) ÷ (25 + 10x + 4x2), we will divide them by the factors.
(5 - 2x)(25 + 10x + 4x2) / (25 + 10x + 4x2)
Cancel the terms, to get the quotient
(5 - 2x) or (-2x + 5) is the quotient.
What is the quotient (125 - 8x3) ÷ (25 + 10x + 4x2)?
Summary:
The quotient when (125 - 8x3) ÷ (25 + 10x + 4x2) is (5 - 2x) or (- 2x + 5).
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