Find the product-x-2 y-3x2-4 y2-2 x y-3 x-6 y-9

#160; #160; #160;x #8722; 2y + 3x2+4y2+2xy 3x+6y+9=x #8722; 2y + 3x2+4y2+9+2xy+6y 3x=x+ 2y+3x2+ 2y2+32 x #215; 2y–2y #215;3 3 #215;x=x3+ 2y3+ ...

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Byju's Answer

Standard IX

Mathematics

(x±a)(x±b) = x²±(a+b)x+ab.

Find the prod...

Question

Find the product:
(x − 2y + 3) (x² + 4y² + 2xy − 3x + 6y + 9)

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Solution

$(x − 2y + 3) (x^{2} + 4 y^{2} + 2 x y - 3 x + 6 y + 9) = (x − 2y + 3) (x^{2} + 4 y^{2} + 9 + 2 x y + 6 y - 3 x) = [x + (- 2 y) + 3] [x^{2} + {(- 2 y)}^{2} + {(3)}^{2} - x \times (- 2 y) - (- 2 y) \times 3 - 3 \times x] = {(x)}^{3} + {(- 2 y)}^{3} + {(3)}^{3} - 3 (x) (- 2 y) (3) = x^{3} - 8 y^{3} + 27 + 18 x y$

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Similar questions

Q. Multiply:
(i) x² + y² + z² − xy + xz + yz by x + y − z

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(iv) 9x² + 25y² + 15xy + 12x − 20y + 16 by 3x − 5y + 4

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(iv) $9 x^{2} + 25 y^{2} + 15 x y + 2 x - 20 y + 16 by 3 x - 5 y + 4$

Q. The equation to the pair of tangents drawn from (–1, –2) to parabola

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Q. Find the product using appropriate identity:

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Find the product: (x − 2y + 3) (x2 + 4y2 + 2xy − 3x + 6y + 9)

x − 2y + 3x2+4y2+2xy-3x+6y+9=x − 2y + 3x2+4y2+9+2xy+6y-3x=x+-2y+3x2+-2y2+32-x×-2y--2y×3-3×x=x3+-2y3+33-3x-2y3=x3-8y3+27+18xy

Find the product:
(x − 2y + 3) (x² + 4y² + 2xy − 3x + 6y + 9)