State whether True or False.
Simplify: $(3 y + 4 z) (3 y - 4 z) + (2 y + 7 z) (y + z)$ .
The answer is $11 y^{2} + 9 y z - 9 z^{2}$ .

True

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False

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Solution

The correct option is A True
$M u l t i p l y i n g (3 y + 4 z) (3 y - 4 z) + (2 y + 7 z) (y + z) = - 16 z^{2} + 12 y z - 12 y z + 9 y^{2} + 7 z^{2} + 7 y z + 2 y z + 2 y^{2} = - 9 z^{2} + 9 y z + 11 y^{2}$

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Similar questions

Simplify:

$(i) (7 x - 8) (3 x + 2) (i i) (p x - q) (p x + q) (i i i) (5 a + 5 b - c) (2 b - 3 c) (i v) (4 x - 5 y) (5 x - 4 y) (v) (3 y + 4 z) (3 y - 4 z) + (2 y + 7 z) (y + z)$

Q. State whether True or False.

The base and the altitude of a triangle are

(3 x - 4 y)

and

(6 x + 5 y)

respectively, then its area is

11 y^{2} + 9 y z - 9 z^{2}

Q. State whether True or False.

Simplify:

(4 x - 5 y) (5 x - 4 y)

The answer is

20 x^{2} - 41 x y + 20 y^{2}

State whether the given statement is true or false

(x + 2 y + z) - (- x - y - 3 z) = 2 x + 3 y + 4 z

Q. State whether True or False.

Simplify :

(p x - q) (p x + q)

The answer is

p^{2} x^{2} - q^{2}

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State whether True or False.Simplify: (3y+4z)(3y−4z)+(2y+7z)(y+z).The answer is 11y2+9yz−9z2.

The correct option is A TrueMultiplying(3y+4z)(3y−4z)+(2y+7z)(y+z)=−16z2+12yz−12yz+9y2+7z2+7yz+2yz+2y2=−9z2+9yz+11y2

State whether True or False.
Simplify: $(3 y + 4 z) (3 y - 4 z) + (2 y + 7 z) (y + z)$ .
The answer is $11 y^{2} + 9 y z - 9 z^{2}$ .

The correct option is A True
$M u l t i p l y i n g (3 y + 4 z) (3 y - 4 z) + (2 y + 7 z) (y + z) = - 16 z^{2} + 12 y z - 12 y z + 9 y^{2} + 7 z^{2} + 7 y z + 2 y z + 2 y^{2} = - 9 z^{2} + 9 y z + 11 y^{2}$