3x²-[7x-(4x-3)-2x²】

3x²-[7x-(4x-3)-2x²】

3x²-[7x-(4x-3)-2x²】
=3x^2-(3x+3-2x^2)
=5x^2-3x-3
=5(x-3/10)^2-69/20
Since it can't be factorized, I use the matching method
3x²-[7x-(4x-3)-2x²】
=3x²-7x+4x-3+2x²
=5x²-3x-3
4X & sup2; - [2x - (X & sup2; - 2x + 3) - 2 (X & sup2; - 3x)] calculation
4x²-[2x-(x²-2x+3)-2(x²-3x)]
=4x²-2x+(x²-2x+3)+2(x²-3x)]
=4x²-2x+x²-2x+3+2x²-6x
=7x²-10x+3
=4x²-(2x-x²+2x-3-2x²+6x)
=4x²-( -3x²+10x-3)
=7x²-10x+3
=(7x-3)(x-1)
Solve the equation 7x (3-x) = 4 (x-3) 4 (x-3) & sup2; - 25 (X-2) & sup2; = 0 4x & sup2; - 4x + 1 = 0
Factor
decomposition method
7x（3-x）=4（x-3）7x（3-x)+4(3-x)=0(3-x)(7x+4)=0x1=3 x2=-4/74(x-3)²-25（x-2）²=0(2x-6+5x-10)(2x-6-5x+10)=0(7x-16)(4-3x)=0x1=16/7 x2=4/34x²-4x+1=0 (2x-1)²=02x-1=0x=1/2
X = - 3 / 7 or x = 4
X = 16 / 7 or x = 4 / 3
x=1/2
(A & sup2; - B & sup2;) & sup2; + (A & sup2; + 2B & sup2;) & sup2; calculation
(a²-b²)²+(a²+2b²)²
=a^4-2a²b²+b^4+a^4+4a²b²+4b^4
=2a^4+2a²b²+5b^4