Add: 8x 2 + 7xy – 6y 2 , 4x 2 – 3xy + 2y 2 and -4x 2 + xy – y
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Answer:
8x² + 5xy – 5y²
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Find the product.
(x−2y+3)(x
2
+4y
2
+2xy+6y−3x+9)
Medium
Solution
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Verified by Toppr
Given : (x−2y+3)(x
2
+4y
2
+2xy+6y−3x+9)
The given question can be written as
=(x+(−2y)+30(x
2
+(−2y)
2
+3
2
−(x)(−2y)−(−2y)(3)−(3)(x))
According to the equation,
a
3
+b
3
+c
3
−3abc=(a+b+c)(a
2
+b
2
+c
2
−ab−bc−ca)
we get,
=x
3
+(−2y)
3
+3
3
−3×x×(−2y)×3
(x−2y+3)(x
2
+4y
2
+2xy+6y−3x+9)=x
3
−8y
3
+27+18xy
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