Find each of the following products-i x - 4x - 4ii 2x - 3y2x - 3yiii x - 3xx - 3xiv 13x2 - 913x2 - 9

1 (x 4)(x 4) #160; = (x 4)^2 2 (2x 3y)(2x 3y) = (2x 3y)^2 3 #160; (x 3x)(x 3x) = (x 3x)^2 4 (13x^2 9) (13x^2 9) = (13x^2 9)^2 ...

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Byju's Answer

Standard IX

Mathematics

Polynomial and Its General Form

Find each of ...

Question

Find each of the following products:
(i) $(x - 4) (x - 4)$
(ii) $(2 x - 3 y) (2 x - 3 y)$
(iii) $(x - \frac{3}{x}) (x - \frac{3}{x})$
(iv) $(\frac{1}{3} x^{2} - 9) (\frac{1}{3} x^{2} - 9)$

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Solution

1 $(x - 4) (x - 4) = (x - 4)^{2}$

2 $(2 x - 3 y) (2 x - 3 y) = (2 x - 3 y)^{2}$

3 $(x - \frac{3}{x}) (x - \frac{3}{x}) = (x - \frac{3}{x})^{2}$

4 $(\frac{1}{3} x^{2} - 9) (\frac{1}{3} x^{2} - 9) = (\frac{1}{3} x^{2} - 9)^{2}$

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Similar questions

Find each of the following products.
(i) $(x - 4) (x - 4)$
(ii) $(2 x - 3 y) (2 x - 3 y)$
(iii) $(\frac{3}{4} x - \frac{5}{6} y) (\frac{3}{4} x - \frac{5}{6} y)$
(iv) $(x - \frac{3}{x}) (x - \frac{3}{x})$
(v) $(\frac{1}{3} x^{2} - 9) (\frac{1}{3} x^{2} - 9)$
(vi) $(\frac{1}{2} y^{2} - \frac{1}{3} y) (\frac{1}{2} y^{2} - \frac{1}{3} y)$

Q. Find each of the following products:
(i) (x − 4)(x − 4)
(ii) (2x − 3y)(2x − 3y)
(iii)

(\frac{3}{4} x - \frac{5}{6} y) (\frac{3}{4} x - \frac{5}{6} y)

(iv)

(x - \frac{3}{x}) (x - \frac{3}{x})

(v)

(\frac{1}{3} x^{2} - 9) (\frac{1}{3} x^{2} - 9)

(vi)

(\frac{1}{2} y^{2} - \frac{1}{3} y) (\frac{1}{2} y^{2} - \frac{1}{3} y)

Find the discriminant of each of the following equations :
(i) $2 x^{2} - 7 x + 6 = 0$ (ii) $3 x^{2} - 2 x + 8 = 0$
(iii) $2 x^{2} - 5 \sqrt{2} x + 4 = 0$ (iv) $\sqrt{3} x^{2} + 2 \sqrt{2} x - 2 \sqrt{3} = 0$
(v) $(x - 1) (2 x - 1) = 0$ (vi) $1 - x = 2 x^{2}$

Q. Use suitable identities to find the following products:
(i)

(x + 4) (x + 10)

(ii)

(x + 8) (x - 10)

(iii)

(3 x + 4) (3 x - 5)

(iv)

(y^{2} + \frac{3}{2}) (y^{2} - \frac{3}{2})

(v)

(3 - 2 x) (3 + 2 x)

Q. Find Sum upto n terms for the following series :
i)

1 + 2 x + 3 x^{2} + 4 x^{3} + . . . ., | x | < 1

ii)

1 + 4 x + 7 x^{2} + 10 x^{3} + . . . ., | x | < 1

iii)

2 \times 1 + 3 \times 2 + 4 \times 4 + 5 \times 8 + . . . .

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Find each of the following products:(i) (x−4)(x−4)(ii) (2x−3y)(2x−3y)(iii) (x−3x)(x−3x)(iv) (13x2−9)(13x2−9)

1 (x−4)(x−4)=(x−4)22 (2x−3y)(2x−3y)=(2x−3y)23 (x−3x)(x−3x)=(x−3x)24 (13x2−9)(13x2−9)=(13x2−9)2

Find each of the following products:
(i) $(x - 4) (x - 4)$
(ii) $(2 x - 3 y) (2 x - 3 y)$
(iii) $(x - \frac{3}{x}) (x - \frac{3}{x})$
(iv) $(\frac{1}{3} x^{2} - 9) (\frac{1}{3} x^{2} - 9)$

1 $(x - 4) (x - 4) = (x - 4)^{2}$

2 $(2 x - 3 y) (2 x - 3 y) = (2 x - 3 y)^{2}$

3 $(x - \frac{3}{x}) (x - \frac{3}{x}) = (x - \frac{3}{x})^{2}$

4 $(\frac{1}{3} x^{2} - 9) (\frac{1}{3} x^{2} - 9) = (\frac{1}{3} x^{2} - 9)^{2}$