(3x+4y+5p)^2
pls help me
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Answered by
1
Answer:
9x^2 + 16y^2 + 25p^2 + 24xy + 40yp + 30xp
Step-by-step explanation:
(a + b + c )^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac
(3x + 4y + 5p )^2 = 9x^2 + 16 y^2 + 25p^2 + 24xy + 40yp + 30xp
Answered by
0
(3x + 4y – 5p)2 =(3x)2 +(4y)2 +(- 5p)2 + [ 2 ×(3x) ×(4y)] + [ 2 ×(4y)×(- 5p)] + [ 2 ×(3x)×(- 5p)]
{ ∵(a + b +c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac }
= 9x2 + 16y2 + 25p2 + [ 24xy ] + [ – 40yp ] + [– 30xp ]
= 9x2 + 16y2 + 25p2 + 24xy – 40yp – 30xp
{ ∵(a + b +c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac }
= 9x2 + 16y2 + 25p2 + [ 24xy ] + [ – 40yp ] + [– 30xp ]
= 9x2 + 16y2 + 25p2 + 24xy – 40yp – 30xp
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