Find the product: (x – 3y) (x + 3y) (x2 + 9y2)

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The product of the first two terms is x^2 - 9y^2. The third term is x^2 + 9y^2 So the final product is x^4 - 81y^4
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Mathematician

x^4-9y^4
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Mathematician

x^4-81y^4
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Trainer

(x-3y)(x+3y)(x2+9y2) =(x2-9y2)(x2+9y2) =(x4-81y4) (ans) Thank you.
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x4-81y4
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Solve : x + y = 18; y + z = 12; z + x = 16
Let x+y=18---(1), y+z=12---(2),z+x=16---(3) Solving (2)-(3) we get y+z-z-x=12-16 y-x=-4--(4) Solving (4)+(5) we get x+y+y-x=18-4 2y=14 y=14/2=7 Substitute y value in (1) x+7=18 x=18-7=11 Substitute x value in (3) z+11=16 z=16-11=5 x=11, y=7, z=5
Deepak
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How many triangles can be drawn having its angles as 45°, 64° and 72°? Give reason for your answer.
Zero triangles.. we cant draw triangle with these angles. but the given angles are 45,64.72. if we add those we get 45+64+72=181. so we cannot draw triangle.
Satish
The sides of a triangular plot are in the ratio of 6 : 7 : 8 and its perimeter is 420 m. Find its area.
Let,the sides are 6x, 7x, 8x. perimeter =420m 6x+7x+8x=420 21x=420 x=20. So the sides are 120,140,160 respectively. now area =root (s(s-a)(s-b)(s-c)) =root(210*90*70*50) =8133m^2
Pratik
If a right circular cone has radius 4 cm and slant height 5 cm then what is its volume?
apply pythagoras theorem (height of cone)^2 + 4^2=5^2 height of cone = 3 volume of cone = 1/3*22/7*r^2*height of cone volume of cone = 50.27 cm^3
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