Question

Answer the question
2A + 3 b whole cube minus 2 a - 3 b whole cube
factorise

Answer 1

Answer:

You can slove this by using this formula

a+b whole cube=a cube +be cube +3ab (a+b)

Answer 2

The required factories form is $(2a + 3b)^3 - (2a-3b)^3=18b(3b^2+4a^2)$

Step-by-step explanation:

Given : Expression $(2a + 3b)^3-(2a-3b)^3$

To find : The factories form of expression ?

Solution :

$(2a + 3b)^3 - (2a-3b)^3=[8a^3 +27b^3 +18ab(2a+3b)] - [8a^3-27b^3-18ab(2a-3b)]$

$(2a + 3b)^3 - (2a-3b)^3=8a^3 +27b^3 +36a^2b+54ab^2-8a^3+27b^3+36a^2b-54ab^2$

$(2a + 3b)^3 - (2a-3b)^3=54b^3+72a^2b$

$(2a + 3b)^3 - (2a-3b)^3=18b(3b^2+4a^2)$

Therefore, the required factories form is $(2a + 3b)^3 - (2a-3b)^3=18b(3b^2+4a^2)$

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