The square of (3x-5) and the square of (2x + 7) is calculated by multiplication formula

The square of (3x-5) and the square of (2x + 7) is calculated by multiplication formula

The square of (3x-5) - (2x + 7)
=9x²-30x+25-4x²-28x-49
=5x²-58x-24
=(5x+2)(x-12)

Using the multiplication formula to calculate: (1) (x + 1) (x-1) (xsquare + 1) (the fourth power of X + 1) (2) (3x + 2) square - (3x-5) square (3) (x-2y) (x + 2y-1) (4) (2x + 3Y) square (2x-3y) square (5) (xsquare + X + 1) (xsquare-x + 1) (6) (2x-1) (2x + 1) - 2 (X-2) square

The eighth power of 1. X-1
2.42X-21
3.X²-4y²-X+2Y
The fourth power of 4.16x - the fourth power of 72x? Y? + 81y
5. The fourth power of X + x 2 + 1
6.2X²+8X+3

The square of (3x-2) is multiplied by the square of (3x + 2) by the multiplication formula

Multiply the square of (3x-2) by the square of (3x + 2)
=(9x²-4)²
=81x^4-72x²+16

-3x square + 2x + 4 = 0 factorization factor

3x²-2x-4=0
x²-2x/3=4/3
x²-2x/3+1/9=4/3+1/9
(x-1/3)²=13/9
x-1/3=±√13/3
x=(1-√13)/3,x=(1+√13)/3

Using the multiplication formula to calculate (3x + 2) 2 - (3x-5) 2

（3x+2)²-(3x-5)²
=（3x+2+3x-5)(3x+2-3x+5)
=7(6x-3)
=42x-21

4X (x-1) 2 - x (2x-5) (2x + 5) is calculated by multiplication formula

4x(x-1)²-x(2x-5)(2x+5)
=x﹛4x²﹣8x﹢4﹣4x²﹢25﹜
=x﹙29﹣8x﹚

(3x + 5) ^ 2-2 (2x-3) ^ 2 is calculated by multiplication formula

（3x+5)^2-2(2x-3)^2
=9x^2+30x+25-2(4x^2-12x+9)
=9x^2+30x+25-8x^2+24x-18
=x^2+54x+7

Using integral multiplication formula to calculate: ① - 2 (1 / 3x-3 / 2Y) ② 4 (- 3 / 2x-3y) (3 / 2x-3y)

①-2（1/3x-3/2y）²=-2[(1/3x)²-2*1/3x*3/2y+(3/2y)²]=-2/9x²+2xy-9/2y²②4（-3/2x-3y）（3/2x-3y）=-4(3/2x+3y)(3/2x-3y)=-4(9/4x²-9y²)=-9x²+36y²

Using the multiplication formula to calculate: (1) (X-Y) (x + y) - (2x-y) 2

X2+Y2-2X2+2XY-Y2=-X2+2XY
Squared

It is calculated by multiplication formula: (1 + 2x + X? 2) 2

(1+2x+x²)²
=(1+2x+x²)(1+2x+x²)
=1 × (1 + 2x + x 2) + 2x × (1 + 2x + X?) + X × (1 + 2x + x 2) (distribution rate)
=(1 + 2x + X? + (2x + 4x? + 2x? + (x? + 2x? + x ^ 4) (distribution rate)
=1+4x+6x²+4x³+x^4