Are these Equivalent expressions 4(2 + 3) and 4(2) + 4(3)

Yes, they are equivalent.

Step-by-step explanation:

For second expression:

Making a conclusion:

Because they both have the same answer, they are equivalent expressions.

I hope this helps!

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1