Question

simplify (8a^3+27)÷4a^2-6ab+9b^2 using idetity​

Answer 1

Solution:

Problem may be like this,

(8a³+27b³)/(4a²-6ab+9b²)

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We know the algebraic identity:

/* x³+y³ =(x+y)(x²-xy+y²)

8a³+27b³

=(2a)³+(3b)³

= (2a+3b)[(2a)²-2a*3b+(3b)²]

=(2a+3b)(4a²-6ab+9b²)

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Now ,

=[(2a+3b)(4a²-6ab+9b²)]/(4a²-6ab+9b²)

After cancellation, we get

= (2a+3b)

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