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Locating a Point in Cartesian Plane

Simplify the ...

Question

Simplify the expressions below

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

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Solution

(i)

(ii)

(iii)

(iv)

(v)

= x + y

(vi)

=

(vii)

(viii)

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Q. Simplify the following expression:

(x + 2 y) (4 x - y) + (2 x - y) (y - x)

Q. Simplify the expression :

[\frac{x^{3} + y^{3}}{{(x - y)}^{2} + 3 x y}] \div [\frac{{(x + y)}^{2} - 3 x y}{x 3 - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

[\frac{x^{3} + y^{3}}{{(x - y)}^{2} + 3 x y}] \div [\frac{{(x + y)}^{2} - 3 x y}{x^{3} - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

[\frac{x^{3} + y^{3}}{(x - y)^{2} + 3 x y}] + [\frac{(x + y)^{2} - 3 x y}{x^{3} - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

.

Now for each pair of polynomials p(x) and q(x) given below, find p(x) + q(x) and p(x) − q(x). Also compute p(1) + q(1) and p(1) − q(1) for each.

(i)

(ii)

(iii)

(iv)

(v)

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Locating a Point in Cartesian Plane

Standard IX Mathematics

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