Question

(3a-b)(4a+5b) expand and simplify

Answer 1

Answer:

Step-by-step explanation:

6x - 7y) • (36x2 + 42xy + 49y2)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(216 • (x3)) - 73y3

Step 2 :

Equation at the end of step 2 :

(23•33x3) - 73y3

Step 3 :

Trying to factor as a Difference of Cubes:

3.1 Factoring: 216x3-343y3

Theory : A difference of two perfect cubes, a3 - b3 can be factored into

(a-b) • (a2 +ab +b2)

Proof : (a-b)•(a2+ab+b2) =

a3+a2b+ab2-ba2-b2a-b3 =

a3+(a2b-ba2)+(ab2-b2a)-b3 =

a3+0+0+b3 =

a3+b3