Find the values of `a` and `b` if `A=B ,` where `A=[[a+4,3b],[8,-6]],B=[[2a+2,b^2+2],[8,b^2-56]]`

Explanation

To find the values of \( a \) and \( b \) such that the matrices \( A \) and \( B \) are equal, we start by equating the corresponding elements of the matrices.

Given:
\[ A = \begin{bmatrix} a + 4 & 3b \\ 8 & -6 \end{bmatrix}, \quad B = \begin{bmatrix} 2a + 2 & b^2 + 2 \\ 8 & b^2 - 56 \end{bmatrix} \]

Since \( A = B \), we can set up the following equations based on the corresponding elements:
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