Toán 1/2 x^2(6x – 3) – x( x^2 + 1/2 (x + 4) hãy rút gọn biểu thức 31/08/2021 By Lyla 1/2 x^2(6x – 3) – x( x^2 + 1/2 (x + 4) hãy rút gọn biểu thức
1/2 x²(6x – 3) – x( x²+ $\frac{1}{2}$ (x + 4) = $\frac{1}{2}$ .x² . 6x – $\frac{1}{2}$.x^2.3 – x.x² – x . $\frac{1}{2}$.(x+4) = 3x³ – $\frac{3}{2}$ .x² – x³ – x.1/2.x – x.1/2 . 4 = 3x³ – $\frac{3}{2}$.x² – x³ – $\frac{1}{2}$.x² – 2x = (3x³ – x³) – ( $\frac{3}{2}$.x² +$\frac{1}{2}$.x²) – 2x = 2³ – 2.² – 2x Trả lời
Đáp án: 1/2 x^2(6x – 3) – x( x^2 + 1/2 (x + 4) = 1/2 .x^2 . 6x – 1/2.x^2.3 – x.x^2 – x . 1/2.(x+4) = 3x^3 – 3/2.x^2 – x^3 – x.1/2.x – x.1/2 . 4 = 3x^3 – 3/2.x^2 – x^3 – 1/2.x^2 – 2x = (3x^3 – x^3) – ( 3/2.x^2 + 1/2.x^2) – 2x = 2x^3 – 2.x^2 – 2x Giải thích các bước giải: Trả lời
1/2 x²(6x – 3) – x( x²+ $\frac{1}{2}$ (x + 4)
= $\frac{1}{2}$ .x² . 6x – $\frac{1}{2}$.x^2.3 – x.x² – x . $\frac{1}{2}$.(x+4)
= 3x³ – $\frac{3}{2}$ .x² – x³ – x.1/2.x – x.1/2 . 4
= 3x³ – $\frac{3}{2}$.x² – x³ – $\frac{1}{2}$.x² – 2x
= (3x³ – x³) – ( $\frac{3}{2}$.x² +$\frac{1}{2}$.x²) – 2x
= 2³ – 2.² – 2x
Đáp án:
1/2 x^2(6x – 3) – x( x^2 + 1/2 (x + 4)
= 1/2 .x^2 . 6x – 1/2.x^2.3 – x.x^2 – x . 1/2.(x+4)
= 3x^3 – 3/2.x^2 – x^3 – x.1/2.x – x.1/2 . 4
= 3x^3 – 3/2.x^2 – x^3 – 1/2.x^2 – 2x
= (3x^3 – x^3) – ( 3/2.x^2 + 1/2.x^2) – 2x
= 2x^3 – 2.x^2 – 2x
Giải thích các bước giải: