Question

Solve the question, you have to factorise it....​

Answer 1

Answer:

The answer is 7(9y^2+25z^2) [2(3y-5z)+1)]

Answer 2

Step-by-step explanation:

Given :-

14(3y-5z)³ + 7(3y-5z)²

To find :-

Factorize the given expression ?

Solution :-

Given expression is 14(3y-5z)³ + 7(3y-5z)²

=>(2×7)(3y-5z)(3y-5z)(3y-5z)+(1×7)(3y-5z)(3y-5z)

=> 7(3y-5z)(3y-5z)[2(3y-5z)+1]

=> 7(3y-5z)(3y-5z)[(2×3y)-(2×5z)+1]

=> 7(3y-5z)(3y-5z)(6y-10z+1)

Factorization of 14(3y-5z)³ + 7(3y-5z)²

= 7(3y-5z)(3y-5z)(6y-10z+1)

Check:-

7(3y-5z)(3y-5z)(6y-10z+1)

7(3y-5z)²(2(3y-5z)+1)

=> (7×2)(3y-5z²)(3y-5z)+7(3y-5z)²

=> 14(3y-5z)³+7(3y-5z)²

Verified the given relations in the given problem.

Answer:-

The factorization of the given expression is 7(3y-5z)(3y-5z)(6y-10z+1)