Math, asked by ramlaiq710, 1 month ago

दिए गए बहु पदों के गुणनखंड ज्ञात करो​

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Answered by Sajunrai
0

Answer:

v

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Answered by ManishShah98
1

\small\red{\boxed{Question .1 =  {x}^{2} + 3x + 2  }} \\  \:  \color{orange}solution :  -  \\  \\  \color{blue} =  {x}^{2}  + 3x + 2 \\  \\ \color{blue} =  {x}^{2}  + (2 + 1)x + 2 \\  \\ \color{blue} =  {x}^{2}  + 2x + x + 2 \\  \\ \color{blue} = x(x + 2) + 1(x + 2) \\  \\ \small\green{\boxed{ = (x + 2)(x + 1) \:  \: is \: the \: answer}} \\  \\  \\ \small\red{\boxed{Question .2 = 2 {x}^{2}  + 8x + 8}}   \\ \color{orange}solution :  - \\  \\ \color{blue} =2 {x}^{2}  + 8x + 8 \\  \\ \color{blue} =2 {x}^{2}  + (4 + 4)x + 8 \\  \\ \color{blue} =2 {x}^{2}  + 4x + 4x + 8 \\  \\ \color{blue} =2x(x + 2) + 4(x + 2) \\  \\ \small\green{\boxed{=(2x + 4)(x + 2) \:  \: is \: the \: answer}} \\  \\ \\  \small\red{\boxed{Question .3 = 3 {x}^{2} + 13x + 12 }} \\  \\ \color{orange}solution :  -  \\  \\ \color{blue} =3 {x}^{2}  + 13x + 12 \\  \\ \color{blue} =3 {x}^{2}  + (9 + 4)x + 12 \\  \\ \color{blue} =3 {x}^{2}  + 9x + 4x + 12 \\  \\ \color{blue} =3x(x + 3) + 4(x + 3) \\  \\\small\green{\boxed{  =(3x + 4)(x + 3) \:  \: is \: the \: answer }}\\  \\ \\  \small\red{\boxed{Question .4 =  {x}^{2}  - x - 12}} \\ \color{orange}solution :  - \\  \\ \color{blue} = {x}^{2}  - x - 12 \\  \\ \color{blue} = {x}^{2}  - (4  -  3)x - 12 \\  \\  \color{blue} = {x}^{2}   - 4x + 3x - 12 \\  \\ \color{blue} =x(x  - 4) + 3(x - 4) \\  \\ \small\green{\boxed{  =(x + 3)(x - 4) \:  \: is \: the \: answer}} \\  \\ \\  \small\red{\boxed{Question .5= 2 {x}^{2} - 8x + 8 }} \\  \color{orange}solution :  - \\  \\\color{blue} =2 {x}^{2}   - 8x + 8 \\  \\ \color{blue} =2 {x}^{2}  - (4  +  4)x + 8 \\  \\ \color{blue} =2 {x}^{2}  - 4x  -  4x + 8 \\  \\ \color{blue} =2x(x - 2) - 4(x - 2) \\  \\ \small\green{\boxed{ =(2x - 4)(x  - 2) \:  \: is \: the \: answer}} \\ \\   \\   \small\red{\boxed{Question .6= 2 {x}^{2} + 7x + 3 }} \\  \color{orange}solution :  - \\  \\ \color{blue} =2 {x}^{2}  + 7x + 3 \\  \\ \color{blue} =2 {x}^{2}  + (6 + 1)x + 3 \\  \\ \color{blue} =2 {x}^{2}  + 6x + x + 3 \\  \\ \color{blue} =2x(x + 3) + 1(x + 3) \\  \\ \small\green{\boxed{ =(2x + 1)(x + 3) \:  \: is \: the \: answer}} \\  \\  \\ \small\red{\boxed{Question .7=6 {x}^{2}  + 5x - 6}} \\  \color{orange}solution :  - \\  \\ \color{blue} =6 {x}^{2}  + 5x - 6 \\  \\ \color{blue} =6 { x }^{2}  + (9 - 4)x - 6 \\  \\ \color{blue} =6 {x}^{2}  + 9x - 4x - 6 \\  \\ \color{blue} =3x(2x + 3) - 2(2x + 3) \\  \\ \small\green{\boxed{  = (3x - 2)(2x + 3) \:  \: is \: the \: answer}} \\  \\  \\ \small\red{\boxed{Question .8=2 {x}^{2}  - 10x + 8}} \\\color{orange}solution :  - \\  \\ \color{blue} =2 {x}^{2}  - 10x + 8 \\  \\ \color{blue} =2 {x}^{2}  - (8 + 2)x + 8 \\  \\ \color{blue} =2 {x}^{2}  - 8x - 2x + 8 \\  \\\color{blue} =2x(x - 4) - 2(x - 4) \\  \\  \small\green{\boxed{  =(2x - 2)(x - 4) \:  \: is \: the \: answer}} \\  \\ \small\purple{\underline{\underline{hope \: its \: help \: you \: dear \:✌✌☺☺❤ }}} \\  \\  \\ \small\pink{ \underline{\boxed{ \underline{\boxed{ \underline{@  ᭄亗 乄 MꫝղᎥនh 乄 亗✯❤࿐}}}}}}

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