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Q.104- 8a^3 + b^3 + 12a^2b +6ab^2
=(2a)^3 (b)^3 + 3(2a)^2(b) + 3(2a)(b)^2
This, is the formula of (2a +b)^3
Ans. (2a +b)^3
Q.105 - 64a^3 - 27b^3 -144a^2b + 108ab^2
=(4a)^3 - (3b)^3 - 3(4a)^2(3b) + 3(4a)(3b)^2
This, is the formula of (4a -3b)^3.
Ans.(4a -3b)^3
Q.106- Theorem: A theorem is a statement that can be proved and demonstrated to be true by accepted mathematical operations and arguments.
Example: The "Pythagoras Theorem" proved that a2 + b2= c2 for a right angled triangle.
Q.107- Axiom: Axiom is a rule or a statement that is accepted as true without proof or demonstration.
Q.108- Postulates: A statement, also known as an axiom, which is taken to be true without proof or demonstration.
Hope this helps,
Bhavish Salian
=(2a)^3 (b)^3 + 3(2a)^2(b) + 3(2a)(b)^2
This, is the formula of (2a +b)^3
Ans. (2a +b)^3
Q.105 - 64a^3 - 27b^3 -144a^2b + 108ab^2
=(4a)^3 - (3b)^3 - 3(4a)^2(3b) + 3(4a)(3b)^2
This, is the formula of (4a -3b)^3.
Ans.(4a -3b)^3
Q.106- Theorem: A theorem is a statement that can be proved and demonstrated to be true by accepted mathematical operations and arguments.
Example: The "Pythagoras Theorem" proved that a2 + b2= c2 for a right angled triangle.
Q.107- Axiom: Axiom is a rule or a statement that is accepted as true without proof or demonstration.
Q.108- Postulates: A statement, also known as an axiom, which is taken to be true without proof or demonstration.
Hope this helps,
Bhavish Salian
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