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1) \(\left(3x^2-3y^2\right)-\left(12x-12y\right)\)
\(=3xy\left(x-y\right)-12\left(x-y\right)\)
\(=\left(3xy-12\right)\left(x-y\right)\)
2) \(4x^3+4xy^2+8x^2y-16x\)
\(=\left(4x^3-16x\right)+\left(4xy^2+8x^2y\right)\)
\(=4x\left(x^2-4\right)+4xy\left(y+2x\right)\)
Ta có : 3x2 - 3y2 - 12x + 12y
= (3x2 - 3y2) - (12x - 12y)
= 3(x2 - y2) - 12(x - y)
= 3(x - y)(x + y) - 4.3.(x - y)
= 3(x - y)(x + y - 4)
a,\(x^2+4x+3\)
=\(x^2+3x+x+3\)
=\(x\left(x+3\right)+\left(x+3\right)\)
=(x+3)(x+1)
b,\(2x^2+3x-5\)
=\(2x^2+5x-2x-5\)
=x(2x+5)-(2x+5)
=(2x+5)(x-1)
c,\(16x-5x^2-3\)
=\(-\left(5x^2-16x+3\right)\)
=\(-\left(5x^2-x-15x+3\right)\)
=-[x(5x-1)-3(5x-1)]
=-[(5x-1)(x-3)]
=-(5x-1)(x-3)
\(a.\) \(x^2+4x+3\)
\(=x^2+x+3x+3\)
\(=x\left(x+1\right)+3\left(x+1\right)\)
\(=\left(x+3\right)\left(x+1\right)\)
\(b.\) \(2x^2+3x-5\)
\(=2x^2-2x+5x-5\)
\(=2x\left(x-1\right)+5\left(x-1\right)\)
\(=\left(x-1\right)\left(2x+5\right)\)
\(c.\)\(16x-5x^2-3\)
\(=-5x^2+16x-3\)
\(=-5x^2+15x+x-3\)
\(=-5x\left(x-3\right)+\left(x-3\right)\)
\(=\left(x-3\right)\left(1-5x\right)\)
Đặt A = 12x2 + 5x - 12y2 + 12y - 10xy - 3
= -(12x2 + 10xy + 3 -12x2 - 5x - 12y)
12y2 + 10xy + 3 - 12x2 - 5x - 12y
= 18xy + 12y2 - 6y - 12x2 - 8xy + 4x - 9x - 6y + 3
= 6y (3x + 2y - 1) - 4 . x (3x + 2y - 1) - 3 . (3x + 2y - 1)
= (6y - 4x - 3) . (3x + 2y - 1)
a) \(x^2-2x-15\)
\(\Leftrightarrow x^2-2x+1-16\)
\(\Leftrightarrow\left(x-1\right)^2-4^2\)
\(\Leftrightarrow\left(x-5\right)\left(x-3\right)\)
\(a,x^2-2x-15=\left(x^2-2x+1\right)-16.\)
\(=\left(x-1\right)^2-4^2\)
\(=\left(x-5\right)\left(x+3\right)\)
mk viết đáp án, ko biết biến đổi ib mk
a) \(x^3+3x^2y-9xy^2+5y^3=\left(x+5y\right)\left(x-y\right)^2\)
b) \(x^4+x^3+6x^2+5x+5=\left(x^2+5\right)\left(x^2+x+1\right)\)
c) \(x^4-2x^3-12x^2+12x+36=\left(x^2-6\right)\left(x^2-2x-6\right)\)
d) \(x^8y^8+x^4y^4+1=\left(x^2y^2-xy+1\right)\left(x^2y^2+xy+1\right)\left(x^4y^4-x^2y^2+1\right)\)
a, 25-x2+4xy-4y2
= 25-(x2-4xy+4y2)
= 52-(x-2y)2
= (5-x+2y)(5+x-2y)
Các biểu thức sau bạn tự chứng minh nhé
= (12x^3-6x^2)+(22x^2-11x)+(6x-3)
= (2x-1).(6x^2+11x+3)
= (2x-1).[(6x^2+2x)+(9x+3)]
= (2x-1).(3x+1).(2x+3)
k mk nha
Ta có: \(12x^3+16x^2-5x-3\)
\(=12x^3-6x^2+22x^2-11x+6x-3\)
\(=6x^2\left(2x-1\right)+11x\left(2x-1\right)+3\left(2x-1\right)\)
\(=\left(2x-1\right)\left(6x^2+11x+3\right)\)
\(=\left(2x-1\right)\left(6x^2+9x+2x+3\right)\)
\(=\left(2x-1\right)\left(2x+3\right)\left(3x+1\right)\)