We Distribute, Yet Things Multiply

Which of the following is true for rational numbers $a$ and $b$?

What property says we can group factors in any way: $(a \times b) \times c = a \times (b \times c)$?

Solve using property: $10 \times (0.5 + 0.2)$.

Reciprocal of the rational number $a$ (where $a \neq 0$) is represented as ______.

Using distributive property, solve $25 \times 998$.

If $a = \frac{-1}{2}, b = \frac{2}{3}, c = \frac{-3}{4}$, find $a \times (b \times c)$.

The multiplicative inverse of $a$ is $\frac{1}{a}$ provided $a$ is:

Multiply $(p^2 - q^2)$ by $(2p + q)$ and simplify.

If $(x+y) = 12$ and $x^2 + y^2 = 100$, find the value of $xy$.

Find the missing term in the identity: $(x-4)(x-2) = x^2 - 6x + ?$

Find the constant term in the expansion of $(x-4)(x+4)$.

Expand $(2x - 1)^2$.

Evaluate $(a+b)(a-b)$ for $a=5, b=3$.

What is the product of $(3 + x)(2 + x)$?

Evaluate the algebraic expression $81x^2 - 72xy + 16y^2$ when $x = \frac{4}{9}$ and $y = \frac{1}{4}$ by applying a suitable identity.

Find the product of $(4x + 3y)$ and $(4x + 3y)$ using identity.

What is the product $(x^2 + 1)(x^2 - 1)$?

The product of $(x-1)(x+1)(x^2+1)(x^4+1)$ is:

Find the area of a square whose side length is $(5x - 3y)$ units.

If $x + \frac{1}{x} = \sqrt{5}$, find the value of $x^2 + \frac{1}{x^2}$.

Expand the expression: $-1(x + 5)$.

Simplify $2x^2(3x - 4)$.

What is the product of $(x - 7)$ and $(x + 7)$?

Expand $0.5(4x - 8)$.

The identity $(x+a)(x+b) = x^2 + (a+b)x + ab$ can be used to find $103 \times 104$. What is the value?

Expand $(1/x + y)^2$.

Subtract $3x(x - y)$ from $5x(x + y)$.

If $x + \frac{1}{x} = 3$, find $x^4 + \frac{1}{x^4}$.

In the expression $5x^2 - (2x^2 - 3x)$, the simplified result is:

Find the value of $k$ if $(3x + 4y)^2 = 9x^2 + kxy + 16y^2$.

What is the product of $1.1x$ and $1.1x$?

Find the product: $(x + 4)(x - 3)$.

Expand $m(n - p) + n(p - m) + p(m - n)$.

What is the result of $3x^2 \times 2x^2$?

If the dimensions of a rectangular plot are $(y + 10)$ and $(y - 8)$, what is its area?

Which identity is most suitable to find the value of $10.2^2$?

Find the product $(x + a)(x + b)$ if $a = -5$ and $b = -3$.

Simplify $(p^2 - q^2)^2$.

If $a - b = 5$ and $ab = 6$, find $a^2 + b^2$.

Find the product: $(3x + 4y)(3x - 4y)$.