What is the LCM of 2 a-3 b2 and 4 a2-9 b2A- 2 a-3 bB- 2 a-3 b2 a-3 b2C- 2 a-3 b2 a-3 bD- 2 a-3 b2

The correct option is B (2a – 3b) (2a +3b) 2 (2a + 3b)^2 = (2a + 3b)(2a + 3b) (4a^2–9b^2) = (2a – 3b) (2a + 3b) Therefore the LCM of (2a+3b)^2 and (4a^2–9b^2) ...

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Standard X

Mathematics

LCM of Polynomials

What is the L...

Question

What is the LCM of $(2 a + 3 b)^{2}$ and $(4 a^{2} - 9 b^{2})$

(2a – 3b)

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(2a – 3b) (2a +3b) ²

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(2a – 3b) (2a +3b)

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(2a +3b) ²

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Solution

The correct option is B
(2a – 3b) (2a +3b) ²

$(2 a + 3 b)^{2}$ = (2a + 3b)(2a + 3b)

$(4 a^{2} - 9 b^{2})$ = (2a – 3b) (2a + 3b)

Therefore the LCM of $(2 a + 3 b)^{2} a n d (4 a^{2} - 9 b^{2}) i s (2 a - 3 b) (2 a + 3 b) (2 a + 3 b) = (2 a - 3 b) (2 a + 3 b)^{2}$

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Similar questions

Simplify the following :

$(i) {(5 a - 8 b)}^{2} - {(5 a + 8 b)}^{2}$

$(i i) {(2 a + 3 b)}^{2} - ((2 a + 3 b) (2 a - 3 b))$ [4 MARKS]

Q. Factorise the expression:

(a + 3 b)^{2} - a^{2}

Simplify the following :

$(i) {(5 a - 8 b)}^{2} - {(5 a + 8 b)}^{2}$

$(i i) {(2 a + 3 b)}^{2} - ((2 a + 3 b) (2 a - 3 b))$ [4 MARKS]

Q. Show that

(2 a + 3 b)^{2} - 24 a b = (2 a - 3 b)^{2}

Q. Solve

(2 a + 3 b) (2 a - 3 b) (4 a^{2} + 9 b^{2}) = ?

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What is the LCM of (2a+3b)2 and (4a2–9b2)

The correct option is B (2a – 3b) (2a +3b) 2 (2a+3b)2 = (2a + 3b)(2a + 3b) (4a2–9b2) = (2a – 3b) (2a + 3b) Therefore the LCM of (2a+3b)2and(4a2–9b2) is (2a–3b)(2a+3b)(2a+3b)=(2a–3b)(2a+3b)2

What is the LCM of $(2 a + 3 b)^{2}$ and $(4 a^{2} - 9 b^{2})$

The correct option is B
(2a – 3b) (2a +3b) ²

$(2 a + 3 b)^{2}$ = (2a + 3b)(2a + 3b)

$(4 a^{2} - 9 b^{2})$ = (2a – 3b) (2a + 3b)

Therefore the LCM of $(2 a + 3 b)^{2} a n d (4 a^{2} - 9 b^{2}) i s (2 a - 3 b) (2 a + 3 b) (2 a + 3 b) = (2 a - 3 b) (2 a + 3 b)^{2}$