Use the identity x - a x - b - x 2- a - b x - ab to find the following products-2 a 2-92 a 2-5A- 4 a2-28 a2-45B- 4 a4-28 a2-45- 4 a4-28 a3-45D- 4 a 2-28 a -45

The correct option is B 4a^4+28a^2+45(2a^2+9) (2a^2+5) =(2a^2)^2+(9+5)× 2a^2+9× 5 [Using identity (x+a) (x+b) =x2+(a+b) x +ab] =4a^4+14× 2a^2+45 =4a^4+28a ...

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Byju's Answer

Standard IX

Mathematics

Expansion of (a ± b ± c)²

Use the ident...

Question

Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products:
$(2 a^{2} + 9) (2 a^{2} + 5)$

4 a^{2} + 28 a^{2} + 45

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4 a^{4} + 28 a^{2} + 45

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4 a^{4} + 28 a^{3} + 45

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4 a^{2} + 28 a + 45

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Solution

The correct option is B $4 a^{4} + 28 a^{2} + 45$
$(2 a^{2} + 9) (2 a^{2} + 5)$
$= (2 a^{2})^{2} + (9 + 5) \times 2 a^{2} + 9 \times 5$ $[U s i n g i d e n t i t y (x + a) (x + b) = x 2 + (a + b) x + a b]$
$= 4 a^{4} + 14 \times 2 a^{2} + 45$
$= 4 a^{4} + 28 a^{2} + 45$

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Similar questions

Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the product of $({2 a}^{2} + 9) ({2 a}^{2} + 5)$ .

Q. Question 2(vi)
Use the identity

(x + a) (x + b) = x^{2} + (a + b) x + a b

to find the following products:

(2 a^{2} + 9) (2 a^{2} + 5)

Q. Question 2(vi)
Use the identity

(x + a) (x + b) = x^{2} + (a + b) x + a b

to find the following products:

(2 a^{2} + 9) (2 a^{2} + 5)

Q. Use the identity

(x + a) (x + b) = x^{2} + (a + b) x + a b

to find the following product:
(i)

(2 x + 5 y) (2 x + 3 y)

(ii)

(2 a^{2} + 9) (2 a^{2} + 5)

Use the identity

(x + a) (x + b) = x^{2} + (a + b) x + a b

to find the following product.

(4 x + 5) (4 x + 1)

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Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following products: (2a2+9)(2a2+5)

The correct option is B 4a4+28a2+45(2a2+9)(2a2+5) =(2a2)2+(9+5)×2a2+9×5 [Using identity(x+a)(x+b)=x2+(a+b)x+ab] =4a4+14×2a2+45 =4a4+28a2+45

Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products:
$(2 a^{2} + 9) (2 a^{2} + 5)$

The correct option is B $4 a^{4} + 28 a^{2} + 45$
$(2 a^{2} + 9) (2 a^{2} + 5)$
$= (2 a^{2})^{2} + (9 + 5) \times 2 a^{2} + 9 \times 5$ $[U s i n g i d e n t i t y (x + a) (x + b) = x 2 + (a + b) x + a b]$
$= 4 a^{4} + 14 \times 2 a^{2} + 45$
$= 4 a^{4} + 28 a^{2} + 45$