Cho a x b = 2,3. Tính
a)a x (-b) b) (-a) x (-b)
c) a x (-2b) d) (-3a) x (2b)
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`@` `\text {Ans}`
`\downarrow`
`a,`
`(2x - 3)^2`
`= 4x^2 - 12x + 9`
`b,`
`(x + 1)^2`
`= x^2 + 2x + 1`
`c,`
`(2x + 5)(2x - 5)`
`= 4x^2 - 25`
`d,`
`(a + b - c)(a - b + c)`
`= a^2 - b^2 + bc - c^2 + cb`
`e,`
\((x + 1)^2 - 10(x + 1) + 25\)
`= x^2 + 2x + 1 - 10x - 10 + 25`
`= x^2 - 8x +16`
`@` `\text {Kaizuu lv uuu}`
`@` CT:
Bình phương của `1` tổng: `(A + B)^2 = A^2 + 2AB + B^2`
Bình phương của `1` hiệu: `(A - B)^2 = A^2 - 2AB + B^2`
`A^2 - B^2 = (A-B)(A+B)`
a) A = (a - 2b + c) - (a - 2b - c)
= a - 2b + c - a + 2b + c
= (a - a) - (2b - 2b) + (c + c)
= 2c
b) tương tự trên
c) C = 2(3a + b - 1) - 3(2a + b - 2)
= 6a + 2b - 2 - 6a - 3b + 3
= (6a - 6a) + (2b - 3b) - (2 - 3)
= 0 - b + 1
= -b + 1
d) D = 4(x - 1) - (3x + 2)
= 4x - 4 - 3x - 2
= (4x - 3x) - (4 + 2)
= x - 6
a) \(\left(2a-b\right)\left(b+4a\right)+2a\left(b-3a\right)\)
\(=2ab+8a^2-b^2-4ab+2ab-6a^2\)
\(=\left(2ab+2ab-4ab\right)+\left(8a^2-6a^2\right)-b^2\)
\(=2a^2-b^2\)
b) \(\left(3a-2b\right).\left(2a-3b\right)-6a\left(a-b\right)\)
\(=6a^2-9ab-4ab+6b^2-6a^2+6ab\)
\(=\left(6a^2-6a^2\right)-\left(9ab+4ab-6ab\right)+6b^2\)
\(=-7ab+b^2\)
c) \(5b\left(2x-b\right)-\left(8b-x\right)\left(2x-b\right)\)
\(=10bx-5b^2-\left(16bx-8b^2-2x^2+bx\right)\)
\(=10bx-5b^2-16bx+8b^2+2x^2-bx\)
\(=\left(10bx-16bx-bx\right)-\left(5b^2-8b^2\right)+2x^2\)
\(=-7bx+3b^2+2x^2\)
d) \(2x\left(a+15x\right)+\left(x-6a\right)\left(5a+2x\right)\)
\(=2ax+30x^2+5ax+2x^2-30a^2-12ax\)
\(=\left(2ax+5ax-12ax\right)+\left(30x^2+2x^2\right)-30a^2\)
\(=-5ax+32x^2-30a^2\)
a: =2ab+8a^2-b^2-4ab+2ab-6a^2
=2a^2-b^2
b: =6a^2-9ab-4ab+6b^2-6a^2+6ab
=-7ab+6b^2
c: =10bx-5b^2-16bx+8b^2+2x^2-xb
=3b^2+2x^2-7xb
d: =2xa+30x^2+5ax+2x^2-30a^2-12ax
=32x^2-30a^2-5ax
ta có : a) \(a.\left(-b\right)=-a.b=-\left(2,3\right)=-2,3\)
b) \(\left(-a\right).\left(-b\right)=a.b=2,3\)
c) \(a.\left(-2b\right)\Leftrightarrow-2ab=-2\left(2,3\right)=-4,6\)
d) \(\left(-3a\right).\left(2b\right)=-6ab=-6.\left(2,3\right)=-13,8\)
VT = (3a + 2b - 1)(a + 5) - 2b(a - 2)
= 3a2 + 2ab - a + 15a + 10b - 5 - 2ab + 4b
= 3a2 + 14a + 14b - 5
= 3a2 + 9a + 5a + 15 + 14b - 20
= 3a(a + 3) + 5(a + 3) + 2(7b - 10)
= (3a + 5)(a + 3) + 2(7b - 10)
= VP (đpcm)
a)a x (-b)=-2,3
b)(-a) x (-b)=2,3
c)a x (-2b)=-4,6
d)(-3a) x (2b) =2,3 x (-6)=-13,8