| 1)(x+a)(x+b)=x(x+a)+a(x+b)
=x2+ax+bx+ab=x2+(a+b)x+ab |
2) (x+2)(x+5)=x(x+2)+2(x+5)=x2+7x+10 |
| 3)(x2+4)(x2-1),let y=x2 (y+4)(y-1)=y(y-1)+4(y-1) =y2-y+4y-1=y2+3y-1=x4+3x2-1 |
4)((t/2)+6))((t/2)-3)) let x=t/2 (x+6)(x-3) =x(x-3)+6(x-3)=x2-3x+6x-18=x2+3x-18 =3(t2/4)+6(t/2)-18 =3t2/4 +6t/2-18 =3t2/4+3t-18 |
| 5)(2x+3y)(5x+4y)=2x(5x+4y)+3y(5x+4y) =10x2+8xy+15xy+12y2=10x2+23xy+12y2 |
6)(7x+3)(2x+5)(3x-4) =(7x+3) {2x(3x-4)+5(3x-4)} =(7x+3){6x2-8x+15x-20} =7x+3{6x2+7x-20} |
SOLVE THE FOLLOWING | |
| 1.(x+3)(x+5) 2.(x+8)(x+9) 3.(x+9.5)(x+8.5) 4.(x+9/3)(x+9/5) 5.(t2+5/6)(t2+6/5) |
6.(4m/p-0.2n/p)(3m/p+0.5n/q) 7.(2y+z)(7z-3y) 8.(2a2+3b2)(3a2+2b2) 9.(x2+5y2)(y2-2x2) 10.(3c2-4d2)(4c2-3d2) |
| PROBLEMS WOULD BE BASED ON THIS FORMULAE | (a2-b2)=(a-b)(a+b) | 1. (y+9)(y-9) 2.((y/3)+6))((y/3)-6)) 3.((1/t2)+3)((1/t2)-6)) 4.((1/3x)+(2/5y))((1/3x)-(2/5y)) 5.(2x-3)(2x+3)(4x2+9) |
6.88*112 7.158*167 8.(10.8)*9.2 9.(10/3)*(14/3) 10.(37/4)*(63/4) |
SOLVE THE YOUR FOLLOWING | (a+b)2=a2+b2+2ab |
| 1.(x+5)(x+5) 2.(x-17)(x-17) 3.((x/3)-7/5)((x/3)-7/5) 4.((8.5x)+ 3.5)((8.5x)+3.5) 5.((13/7)+x)((13/7)+x) |
6.(199)2 7.(297)2 8.(109)2 9.(203)2 10.(111)2 |