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Sum of Coefficients of All Terms

State whether...

Question

State whether the statement is True or False.
Expand: $(3 x - 4 y + 5 z)^{2}$ is equal to $9 x^{2} + 16 y^{2} + 25 z^{2} - 24 x y - 24 x y - 40 y z + 30 z x$ .

A

True

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B

False

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Solution

The correct option is B False
$M u l t i p l y (3 x - 4 y + 5 z) (3 x - 4 y + 5 z) = 9 x^{2} + 16 y^{2} + 25 z^{2} - 12 x y - 20 y z + 15 z x - 12 x y - 20 y z + 15 z x = 9 x^{2} + 16 y^{2} + 25 z^{2} - 24 x y - 40 y z + 30 z x$

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Q. The value of

\frac{9 x^{2} - 24 x y + 16 y^{2}}{3 x - 4 y}

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Square of

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9 x^{2} + 16 y^{2} + 24 x y

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Q. Trace the parabolas :

9 x^{2} + 24 x y + 16 y^{2} - 4 y - x + 7 = 0 .

Q. Factorise the expression:

9 x^{2} + 24 x y + 16 y^{2} - 25 z^{2}

Q. Factorise:

(10) 9x² – 24xy + 16y²

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