Question

The special products can be used to perform selected multiplications.
On the left, we use (x+y)(x-y) = x²-y². On the right, (x-y)² = x²-2xy+y².

Use special products to evaluate each expression. 63 x 57

Accepted Answer

Identify which special product formula applies to the given expression. Since the problem mentions both $$(x+y)(x-y) = x^2$ - y^2$ and (x$$ - $$y)^2$$ = $$x^2 - 2xy$$ + $$y^2$$, determine which one matches the expression you need to evaluate. Substitute the given values $$x = 63$$ and $$y = 57$$ into the chosen formula. For example, if using $$(x+y)(x-y)$$, calculate $$x + y$$ and $$x - y$$ first. Calculate the squares $$x^2$$ and $$y^2$$ separately by squaring the substituted values: $$63^2$$ and $$57^2. $$Apply the formula by subtracting $$y^2$$ from $$x^2 if $$using the difference of squares formula, or by computing $$x^2 - 2xy$$ + $$y^2 if $$using the square of a difference formula. Simplify the resulting expression step-by-step to find the final value of the expression without directly multiplying the original binomials.

The special products can be used to perform selected multiplications.
On the left, we use (x+y)(x-y) = x²-y². On the right, (x-y)² = x²-2xy+y².

Use special products to evaluate each expression. 63 x 57

Verified video answer for a similar problem:

Key Concepts

Difference of Squares

Square of a Binomial

Substitution of Values into Algebraic Expressions

The special products can be used to perform selected multiplications. On the left, we use (x+y)(x-y) = x2-y2. On the right, (x-y)2 = x2-2xy+y2. Use special products to evaluate each expression. 63 x 57

Verified video answer for a similar problem:

Key Concepts

Difference of Squares

Square of a Binomial

Substitution of Values into Algebraic Expressions

The special products can be used to perform selected multiplications.
On the left, we use (x+y)(x-y) = x²-y². On the right, (x-y)² = x²-2xy+y².

Use special products to evaluate each expression. 63 x 57