Question

3) (a - b)(a + b2);5) (72 - 3y)(7t2 + 3y);​

Answer 1

3)

$(a - b)(a + b {}^{2} ) = a {}^{2} + ab \frac{}{} {}^{2} - ab - b {}^{3}$

5)

$(72 - 3y)(7t2 + 3y) = 1008t + 216y - 42ty - 9y {}^{2}$

Удачи

Answer 2

It looks like you have two algebraic expressions, and you would like me to perform some calculations with them. Let's simplify these expressions:

3. (a - b)(a + b^2):

To simplify this expression, we can use the difference of squares formula, which states that (x - y)(x + y) = x^2 - y^2. In this case, a is like x, and b is like y.

So, (a - b)(a + b^2) simplifies to:

a^2 - b^2

5. (72 - 3y)(7t^2 + 3y):

To simplify this expression, you can use the distributive property, which states that for any real numbers a, b, and c:

(a + b)(c) = ac + bc

So, applying this property to your expression:

(72 - 3y)(7t^2 + 3y) simplifies to:

72 * 7t^2 - 72 * 3y - 3y * 7t^2 - 3y * 3y

Now, let's simplify each term separately:

1. 72 * 7t^2 = 504t^2
2. • 72 * 3y = -216y
3. • 3y * 7t^2 = -21t^2y
4. • 3y * 3y = -9y^2

So, the simplified expression is:

504t^2 - 216y - 21t^2y - 9y^2

If you have any further questions or need additional assistance, please, let me know.