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Giải bài 2.8 trang 24 sách bài tập toán 8 - Kết nối tri thức với cuộc sống

Viết mỗi biểu thức sau dưới dạng lập phương của một tổng hoặc một hiệu:

✤Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Khoa học tự nhiên
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Đề bài

Viết mỗi biểu thức sau dưới dạng lập phương của một tổng hoặc một hiệu: a) \({x^3} + 6{x^2} + 12x + 8\); b) \(8{a^3} - 12{a^2}b + 6a{b^2} - {b^3}\).

Phương pháp giải - Xem chi tiết

Sử dụng các hằng đẳng thức đáng nhớ để tìm ra dạng lập phương của một tổng hoặc một hiệu của các biểu thức đó.
♏ a) \({\left( {a + b} \right)^3} = {a^3} + 3{a^2}b + 3a{b^2} + {b^3}\);

b) \({\left( {a - b} \right)^3} = {a^3} - 3{a^2}b + 3a{b^2} - {b^3}\).

Lời giải chi tiết

a) \({x^3} + 6{x^2} + 12x + 8 = {x^3} + 3.{x^2}.2 + 3.x{.2^2} + {2^3} = {\left( {x + 2} \right)^3}\);b) \(8{a^3} - 12{a^2}b + 6a{b^2} - {b^3} = {\left( {2a} \right)^3} - 3.{\left( {2a} \right)^2}.b + 3.2a.{b^2} - {b^3} = {\left( {2a - b} \right)^3}\).

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Tham Gia Group Dành Cho Lớp 8 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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