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Identify terms which contain [tex]$y^2$[/tex] and give the coefficient of [tex]$y^2$[/tex].

(i) [tex]$8 - x y^2$[/tex]
- Term: [tex]$-x y^2$[/tex]
- Coefficient: [tex]$-x$[/tex]

(ii) [tex]$5 y^2 + 7 x$[/tex]
- Term: [tex]$5 y^2$[/tex]
- Coefficient: [tex]$5$[/tex]

(iii) [tex]$2 x^2 y - 15 x y^2 + 7 y^2$[/tex]
- Terms: [tex]$-15 x y^2$[/tex] and [tex]$7 y^2$[/tex]
- Coefficients: [tex]$-15 x$[/tex] and [tex]$7$[/tex]

Answer :

Let's identify the terms containing [tex]\( y^2 \)[/tex] in each expression and determine their coefficients.

### Part (i): [tex]\( 8 - xy^2 \)[/tex]

1. Look at each term in the expression:
- [tex]\( 8 \)[/tex] does not contain [tex]\( y^2 \)[/tex].
- [tex]\(-xy^2\)[/tex] contains [tex]\( y^2 \)[/tex].

2. Identify the coefficient of [tex]\( y^2 \)[/tex] in [tex]\(-xy^2\)[/tex]:
- The term is [tex]\(-xy^2\)[/tex], and the coefficient of [tex]\( y^2 \)[/tex] is [tex]\(-x\)[/tex].

### Part (ii): [tex]\( 5y^2 + 7x \)[/tex]

1. Look at each term in the expression:
- [tex]\( 5y^2 \)[/tex] contains [tex]\( y^2 \)[/tex].
- [tex]\( 7x \)[/tex] does not contain [tex]\( y^2 \)[/tex].

2. Identify the coefficient of [tex]\( y^2 \)[/tex] in [tex]\( 5y^2 \)[/tex]:
- The term is [tex]\( 5y^2 \)[/tex], and the coefficient of [tex]\( y^2 \)[/tex] is [tex]\( 5 \)[/tex].

### Part (iii): [tex]\( 2x^2y - 15xy^2 + 7y^2 \)[/tex]

1. Look at each term in the expression:
- [tex]\( 2x^2y \)[/tex] does not contain [tex]\( y^2 \)[/tex].
- [tex]\(-15xy^2\)[/tex] contains [tex]\( y^2 \)[/tex].
- [tex]\( 7y^2 \)[/tex] contains [tex]\( y^2 \)[/tex].

2. Identify the coefficients of [tex]\( y^2 \)[/tex] in [tex]\(-15xy^2\)[/tex] and [tex]\( 7y^2 \)[/tex]:
- In [tex]\(-15xy^2\)[/tex], the coefficient of [tex]\( y^2 \)[/tex] is [tex]\(-15x\)[/tex].
- In [tex]\( 7y^2 \)[/tex], the coefficient of [tex]\( y^2 \)[/tex] is [tex]\( 7 \)[/tex].

### Summary:
- For [tex]\( 8 - xy^2 \)[/tex], the term containing [tex]\( y^2 \)[/tex] is [tex]\(-xy^2\)[/tex], with a coefficient of [tex]\(-x\)[/tex].
- For [tex]\( 5y^2 + 7x \)[/tex], the term containing [tex]\( y^2 \)[/tex] is [tex]\( 5y^2 \)[/tex], with a coefficient of [tex]\( 5 \)[/tex].
- For [tex]\( 2x^2y - 15xy^2 + 7y^2 \)[/tex], the terms containing [tex]\( y^2 \)[/tex] are [tex]\(-15xy^2\)[/tex] and [tex]\( 7y^2 \)[/tex], with coefficients [tex]\(-15x\)[/tex] and [tex]\( 7 \)[/tex], respectively.

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