expand (3x-4y+5p)(3x-4y+5p)
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Answered by
12
it can be written as (3x+(-4y)+5p)(3x+(-4y)+5p)
= (3x+(-4y)+5p)^2 {whole square}
using formula (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca ..
= (3x)^2 + (-4y)^2 + (5p)^2 + 2(3x)(-4y) + 2(-4y)(5p) + 2(5p)(3x)
= 9x^2 + 16y^2 + 25p^2 - 24xy - 40yp + 30px .
if Found Helpful Please Consider My Efforts and do the favor of Marking answer Brainliest.
= (3x+(-4y)+5p)^2 {whole square}
using formula (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca ..
= (3x)^2 + (-4y)^2 + (5p)^2 + 2(3x)(-4y) + 2(-4y)(5p) + 2(5p)(3x)
= 9x^2 + 16y^2 + 25p^2 - 24xy - 40yp + 30px .
if Found Helpful Please Consider My Efforts and do the favor of Marking answer Brainliest.
Answered by
1
Answer:
Let us expand the given expression:
(3x + 4y – 5p)2 = (3x)2 +(4y)2 +(-5p)2 + [2 ×(3x) ×(4y)] + [2 ×(4y)×(- 5p)] + [2 ×(3x)×(-5p)]
By using the formula,
(a + b +c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
Here, a = 3x, b = 4y, c = 5p
Now, substitute the value we get
= 9x2 + 16y2 + 25p2 + [24xy] + [– 40yp] + [– 30xp]
= 9x2 + 16y2 + 25p2 + 24xy – 40yp – 30xp
∴ (3x + 4y – 5p)2 = 9x2 + 16y2 + 25p2 + 24xy – 40yp – 30xp
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