The value of 3 x2-5 y24 x y-5 y- if the value of x-2 and y-3- is 513 -A- TrueB- False

The correct option is A True (3x^2+5y^2) (4xy 5y) ⇒ 12x^3y 15x^2y + 20xy^3 25y^3 ⇒ 12 (2)^3 (3) 15 (2)^2 (3) + 20 (2) (3)^3 25 (3)^3 ⇒ 12 (8) (3) 15 ...

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Byju's Answer

Standard VIII

Mathematics

Expansion of (x+y)^2

The value of ...

Question

The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , if the value of $x = 2$ and $y = 3$ , is $513$ .

True

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False

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Solution

The correct option is A
True

$(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$

$\Rightarrow 12 x^{3} y - 15 x^{2} y + 20 x y^{3} - 25 y^{3}$

$\Rightarrow 12 (2)^{3} (3) - 15 (2)^{2} (3) + 20 (2) (3)^{3} - 25 (3)^{3}$

$\Rightarrow 12 (8) (3) - 15 (4) (3) + 20 (2) (27) - 25 (27)$

$\Rightarrow 288 - 180 + 1080 - 675 = 513$

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Similar questions

The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , if $x = 2$ and $y = 3$ is $513$ .

The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , when the value of $x = 1$ and $y = 2$ is $- 46$ .

The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , if the value of $x = 2$ and $y = 3$ is ___.

Simplify $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ .

Q. Subtract

3 x^{2} - 5 y - 2

from

5 y - 3 x^{2} + x y

and find the value of the result if x = 2, y = -1.

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The value of (3x2+5y2)(4xy−5y), if the value of x=2 and y=3, is 513.

The correct option is A True (3x2+5y2)(4xy−5y) ⇒12x3y−15x2y+20xy3−25y3 ⇒12(2)3(3)−15(2)2(3)+20(2)(3)3−25(3)3 ⇒12(8)(3)−15(4)(3)+20(2)(27)−25(27) ⇒288−180+1080−675=513

The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , if the value of $x = 2$ and $y = 3$ , is $513$ .