Question

14(3y-5z)^{3}+7(3y-5z)^{2}
Please tell with full explanation​

Answer 1

Step-by-step explanation:

Step 1:- Equation at the end of step 1.

$(14.((3y - 5z) ^{3} )) - 7.(3y - 5z) ^{2}$

Step 2:- Equation at the end of step 2.

$14.(3y - 5z) ^{3} - 7.(3y - 5z)^{2}$

Step 3:- Pulling out like terms

3.1. Pull out (3y-5z)^2

After pulling out, we are left with:

$(3y - 5z) ^{2} .(14 ^{x} (3y - 5z) + (7^{x} ( - 1))$

Step 4: Pulling out like terms.

4.1. Pull out like factors:

$42y - 70z - 7 = 7.(6y - 10z - 1)$

Final result:-

$7.(3y - 5z) ^{2} .(6y - 10z - 1)$