Question 1
Use suitable identities to find the following products:
(i) (x + 4) (x + 10)
(ii) (x+8) (x-10)
(iii) (3x + 4) (3x-5)
(iv) $(y^{2} + \frac{3}{2}) (y^{2} - \frac{3}{2})$
(c) (3-2x) (3+2x)

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Solution

(i) Using identity (x + a) (x + b) = $x^{2} + (a + b) x + a b, (x + 4) (x + 10) = x^{2} + (4 + 10) x + 4 \times 10 = x^{2} + 14 x + 40$

(ii) Using the same identity as in (i) above,
(x + 8) (x - 10) = $x^{2} + (8 - 10) x + 8 (- 10) = x^{2} - 2 x - 80$

(iii) Using the same identity,
$(3 x + 4) (3 x - 5) = 3 x \times 3 x + (- 1) (3 x) - 20 = 9 x^{2} - 3 x - 20$

(iv) Using $(x + y) (x - y) = x^{2} - y^{2} (y^{2} + \frac{3}{2}) (y^{2} - \frac{3}{2}) = (y^{2})^{2} - {(\frac{3}{2})}^{2} = y^{4} - \frac{9}{4}$
(v) Using the same identity as in (iv),
$(3 - 2 x) (3 + 2 x) = 3^{2} - (2 x)^{2} = 9 - 4 x^{2}$

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Question 1
Use suitable identities to find the following products:
(i) (x + 4) (x + 10)
(ii) (x+8) (x-10)
(iii) (3x + 4) (3x-5)
(iv) $(y^{2} + \frac{3}{2}) (y^{2} - \frac{3}{2})$
(c) (3-2x) (3+2x)

Use suitable identities to find the following products:
(i) $(x + 4) (x + 10)$
(ii) $(x + 8) (x - 1)$
(iii) ( $y^{2}$ + $\frac{3}{2}$ )( $y^{2}$ − $\frac{3}{2}$ )

Use suitable identities to find the following product: ( $y^{2}$ + $\frac{3}{2}$ )( $y^{2}$ – $\frac{3}{2}$ )

Q. Use suitable identities to find the following products:

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

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Question 1 Use suitable identities to find the following products: (i) (x + 4) (x + 10) (ii) (x+8) (x-10) (iii) (3x + 4) (3x-5) (iv) (y2+32)(y2−32) (c) (3-2x) (3+2x)

Question 1
Use suitable identities to find the following products:
(i) (x + 4) (x + 10)
(ii) (x+8) (x-10)
(iii) (3x + 4) (3x-5)
(iv) $(y^{2} + \frac{3}{2}) (y^{2} - \frac{3}{2})$
(c) (3-2x) (3+2x)