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Multiplication of Polynomials

Multiply:i x2...

Question

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

(ii) x² + 4y² + z³ + 2xy + xz − 2yz by x − 2y − z

(iii) x²+ 4y² + 2xy − 3x + 6y + 9 by x − 2y + 3

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

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Solution

(i) The given expression is

We have to multiply the above expression by.

The required product is

Recall the formula

Using the above formula, we have

(ii) The given expression is

We have to multiply the above expression by.

The required product is

Recall the formula

Using the above formula, we have

(iii) The given expression is

We have to multiply the above expression by.

The required product is

Recall the formula

Using the above formula, we have

(iii) The given expression is

We have to multiply the above expression by.

The required product is

Recall the formula

Using the above formula, we have

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Similar questions

(i) $x^{2} + y^{2} + z^{2} - x y + x + y z by x + y - z$

(ii) $x^{2} + 4 y^{2} + z^{2} + 2 x y + x z - 2 y z by x - 2 y - z$

(iii) $x^{2} + 4 y^{2} + 2 x y - 3 x + 6 y + 9 by x - 2 y + 3$

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

Multiply: x²+4y²+z²+2xy+xz-2yz by x-2y-z

Q. Question 6
Multiply

(x^{2} + 4 y^{2} + z^{2} + 2 x y + x z - 2 y z) b y (- z + x - 2 y .)

Q. Question 6
Multiply

(x^{2} + 4 y^{2} + z^{2} + 2 x y + x z - 2 y z) b y (- z + x - 2 y .)

(x + 2 y + 3 z)^{2}

using algebraic identity.

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