Question

if a+b=7,ab=6,then the value of a³+b³ find value ​

Answer 1

Answer:

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Step-by-step explanation:

let a^3+b^3 be x

(a+b)^3=343

(a+b)^3=a^3+b^3+3ab(a+b)

343=x+3×6(7)

343=x+126

x=217

Answer 2

Answer:

The value of a³ + b³ using the algebraic identity is 217;

Explanation:

Given that:

a+b=7;

ab=6;

So, In order to find the value of a³+b³, we have to apply the algebraic identity, which is:

(a + b)³ = a³ + b³ + 3ab(a + b);

So, Substitute the given values in the above algebraic identity to find the value of a³ + b³.

(a + b)³ = a³ + b³ + 3ab(a + b);

⇒ (7)³ = a³ + b³ + 3(6)(7)

⇒ 343 = a³ + b³ + 126

⇒ a³ + b³ = 343 - 126

⇒ a³ + b³ = 217;

Therefore,

The value of a³ + b³ using the algebraic identity is 217;

To learn more about algebraic identity, visit:

https://brainly.in/question/51406190

To learn more about algebraic expressions, visit:

https://brainly.in/question/16766451

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