Question

1 simplify \\( \frac{5(-4x + 19y^2) - y^2}{\quad} \\) (note: the denominator part is unclear from the image, but the numerator expression is 5(-4x + 19y²) - y²)

Explanation:

The image seems to have a formatting issue, and the expression is not clearly visible. However, from what can be partially seen, if we assume the expression is something like simplifying \( \frac{5(-4x + 19y^2)-y^2}{...} \) (though this is a guess due to the unclear image), let's try to clarify. Wait, actually, the text in the image is rotated and unclear. Let's reorient and parse it. After rotating, it seems the problem is to simplify \( 5(-4x + 19y^2) - y^2 \). Let's proceed with that assumption.

Step1: Distribute the 5

We use the distributive property \( a(b + c)=ab + ac \). Here, \( a = 5 \), \( b=-4x \), \( c = 19y^2 \). So, \( 5(-4x)+5(19y^2)-y^2 \)
\( = -20x + 95y^2 - y^2 \)

Step2: Combine like terms (the \( y^2 \) terms)

Like terms have the same variable and exponent. So, \( 95y^2 - y^2=(95 - 1)y^2 = 94y^2 \)
So the simplified expression is \( -20x + 94y^2 \)

Answer:

\( -20x + 94y^2 \)

(Note: If the original problem was different due to the unclear image, please re - provide the correct expression for an accurate solution.)