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Popular >

expand (3-5x-5Δx)^4

Solution

expand

(3 - 5 x - 5Δ x)^{4}

Solution

625 Δ^{4} x^{4} + 2500 Δ^{3} x^{4} + 3750 Δ^{2} x^{4} + 2500Δ x^{4} + 625 x^{4} - 1500 Δ^{3} x^{3} - 4500 Δ^{2} x^{3} - 4500Δ x^{3} - 1500 x^{3} + 1350 Δ^{2} x^{2} + 2700Δ x^{2} + 1350 x^{2} - 540Δ x - 540 x + 81

Solution steps

(3 - 5 x - 5Δ x)^{4}

(3 - 5 x - 5Δ x)^{4} = (3 - 5 x - 5Δ x) (3 - 5 x - 5Δ x) (3 - 5 x - 5Δ x) (3 - 5 x - 5Δ x)

= (- 5 x - 5Δ x + 3) (- 5 x - 5Δ x + 3) (- 5 x - 5Δ x + 3) (- 5 x - 5Δ x + 3)

Expand

(3 - 5 x - 5Δ x) (3 - 5 x - 5Δ x) (3 - 5 x - 5Δ x) (3 - 5 x - 5Δ x) : 625 Δ^{4} x^{4} + 2500 Δ^{3} x^{4} + 3750 Δ^{2} x^{4} + 2500Δ x^{4} + 625 x^{4} - 1500 Δ^{3} x^{3} - 4500 Δ^{2} x^{3} - 4500Δ x^{3} - 1500 x^{3} + 1350 Δ^{2} x^{2} + 2700Δ x^{2} + 1350 x^{2} - 540Δ x - 540 x + 81

= 625 Δ^{4} x^{4} + 2500 Δ^{3} x^{4} + 3750 Δ^{2} x^{4} + 2500Δ x^{4} + 625 x^{4} - 1500 Δ^{3} x^{3} - 4500 Δ^{2} x^{3} - 4500Δ x^{3} - 1500 x^{3} + 1350 Δ^{2} x^{2} + 2700Δ x^{2} + 1350 x^{2} - 540Δ x - 540 x + 81

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Frequently Asked Questions (FAQ)

What is expand (3-5x-5Δx)^4 ?
The solution to expand (3-5x-5Δx)^4 is