ax+ay+7x-7y
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\(=a\left(x+y\right)-7\left(x+y\right)=\left(a-7\right)\left(x+y\right)\)
a) \(A=x^2-8x-y^2-8y\)
\(A=\left(x^2-y^2\right)-\left(8x+8y\right)\)
\(A=-8\left(x-y\right)\left(x+y\right)\)
b) \(B=x^2-6x+9-4y^2\)
\(B=\left(x-3\right)^2-\left(2y\right)^2\)
\(B=\left(x-3-2y\right)\left(x-3+2y\right)\)
c) \(C=7x-7y-ax+ay\)
\(C=7\left(x-y\right)-a\left(x-y\right)\)
\(C=\left(x-y\right)\left(7-a\right)\)
\(A=\left(x^2-8x+16\right)-\left(y^2+8y+16\right)=\left(x-4\right)^2-\left(y+4\right)^2=\left(x-4+y+4\right)\left(x-4-y-4\right)=\left(x+y\right)\left(x-y-8\right)\)
\(B=\left(x^2-6x+9\right)-4y^2=\left(x-3+2y\right)\left(x-3-2y\right)\)
\(C=7\left(x-y\right)-a\left(x-y\right)=\left(7-a\right)\left(x-y\right)\)
1 \(=\left(4x^2+4x+1\right)-\left(3y\right)^2\)
\(=\left(2x+1\right)^2-\left(3y\right)^2\)
\(=\left(2x+1-3y\right)\left(2x+1+3y\right)\)
2,\(=\left(x^2+2xy+y^2\right)-\left(z^2-2zt+t^2\right)\)
\(=\left(x+y\right)^2-\left(z-t\right)^2\)
\(=\left(x+y+z-t\right)\left(x+y-z+t\right)\)
3,\(=9x\left(x-y\right)-7\left(x-y\right)\)
\(=\left(x-y\right)\left(9x-7\right)\)
4\(=3\left(x-y\right)+a\left(x-y\right)\)
\(=\left(x-y\right)\left(3+a\right)\)
a) sửa đề nha bn: xy + xz - 5z - 5y
\(xy+xz-5z-5y\)
\(=x\left(y+z\right)-5\left(z+y\right)\)
\(=\left(x-5\right)\left(y+z\right)\)
b) \(x+y-x^2-xy\)
\(=\left(x+y\right)-x\left(x+y\right)\)
\(=\left(1-x\right)\left(x+y\right)\)
c) \(x^2-xy-7x+7y\)
\(=x\left(x-y\right)-7\left(x-y\right)\)
\(=\left(x-7\right)\left(x-y\right)\)
d) \(ax^2+cx^2-ay+ay^2-cy+cy^2\)
\(=ax^2+cx^2-ay-cy+ay^2+cy^2\)
\(=x^2\left(a+c\right)-y\left(a+c\right)+y^2\left(a+c\right)\)
\(=\left(a+c\right)\left(x^2-y+y^2\right)\)
\(\dfrac{15x}{7y^5}.\dfrac{2y^2}{x^6}=\dfrac{30xy^2}{7x^6y^5}=\dfrac{30}{7x^5y^3}\\ \rightarrow a=5;b=3\)
a) x4 - x3 - x2 + 1
=(x4 - x3) -(x2 + 12)
=x3(x-1)-(x+1)(x-1)
=(x-1)
\(b,=\left(x+y\right)-x\left(x+y\right)=\left(1-x\right)\left(x+y\right)\\ c,=x\left(x-y\right)-7\left(x-y\right)=\left(x-7\right)\left(x-y\right)\\ d,=x^2\left(a+c\right)-y\left(a+c\right)+y^2\left(a+c\right)\\ =\left(x^2-y+y^2\right)\left(a+c\right)\)
Câu a sai đề, không phân tích được
a: \(xy+xz-5x-5y=\left(x+y\right)\left(z-5\right)\)
b: \(x+y-x^2-xy=\left(x+y\right)\left(1-x\right)\)
c: \(x^2-xy-7x+7y=\left(x-y\right)\left(x-7\right)\)
anh vip làm sai rồi có đấu trừ nữa mà bạn
=(ax+ay)+(7x+7y)
=a(x+y)+7(x+y)
=(x+y)(a+7)