Math, asked by vp4331603, 9 months ago

1- p²+22P +85
2- 12p²-3p
3- 4x²-16qy²
4- x²+2x-48
5- P²-16q²
6- 9x²-4(x+y)²​

Answers

Answered by Ponnua075
0

Answer:

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Attachments:
Answered by rajsccoc
1

Answer:

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(1)  {p}^{2}  + 22p  + 85 \\  =  {p}^{2} \:   + (17 + 5) p \:   + 85 \\  = p { }^{2}  + 17p + 5p + 85 \\  = p(p + 17) + 5(p + 17)\\  = (p + 17)(p + 5)

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(2) 12 {p }^{2}  - 3p \\  = 3p(4p - 1)

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(3) 4 {x}^{2}   - 16q {y}^{2}  \\  = (2x) {}^{2}  - (4y) {}^{2} (q) \\  = (2x - 4y)(2x + 4y)(q) \\ or \\  = (2x - 4y)(2qx + 4qy)

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(4)  {x}^{2}  + 2x - 48 \\  =  {x}^{2}  + (8 - 6)x - 48 \\  =  {x}^{2}  + 8x - 6x - 48 \\ x(x + 8) - 6(x  + 8) \\  = (x - 6)(x + 8)

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(5)  {p}^{2}  - 16 {q}^{2}  \\  = (p) {}^{2} - (4q) {}^{2}   \\  = (p + 4q)(p - 4q)

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(6) 9 {x}^{2}  - 4(x + y) {}^{2}  \\  = (3x) {}^{2}  -  [2(x + y)] {}^{2}  \\  =  [3x + 2(x + y)] \:   [3x  - 2(x + y)]

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Hope these solutions help you :)

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