Use polynomial identities to multiply the expressions ? $open parentheses 25 x squared minus 15 y squared close parentheses open parentheses 25 x squared plus 15 y squared close parentheses$

hint Hint:

$open parentheses a squared minus b squared close parentheses equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$ , where a and b can be real values, variables or multiples of both. We are asked to use polynomial identities to find the product of the expression.

The correct answer is: (25x2 - 15y2)(25x2 + 15y2) = 625x4 - 225y4.

Step 1 of 2:
The given expression is $open parentheses 25 x squared minus 15 y squared close parentheses open parentheses 25 x squared plus 15 y squared close parentheses$ . It is of the form $left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$ where $a equals 25 x squared straight & b equals 15 y squared$ .
Step 2 of 2:
Use the polynomial identity $open parentheses a squared minus b squared close parentheses equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$ to find the product of the expression;
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell open parentheses 25 x squared minus 15 y squared close parentheses open parentheses 25 x squared plus 15 y squared close parentheses equals open parentheses 25 x squared close parentheses squared minus open parentheses 15 y squared close parentheses squared end cell row cell equals 625 x to the power of 4 minus 225 y to the power of 4 end cell end table$
Thus, the product is $open parentheses 25 x squared minus 15 y squared close parentheses open parentheses 25 x squared plus 15 y squared close parentheses equals 625 x to the power of 4 minus 225 y to the power of 4$ .

Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

Use polynomial identities to multiply the expressions ? $open parentheses 25 x squared minus 15 y squared close parentheses open parentheses 25 x squared plus 15 y squared close parentheses$

The correct answer is: (25x2 - 15y2)(25x2 + 15y2) = 625x4 - 225y4.

Related Questions to study

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Follow Us at

Support

Download App

Quick Links

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

Use polynomial identities to multiply the expressions ?

, where a and b can be real values, variables or multiples of both. We are asked to use polynomial identities to find the product of the expression.

The correct answer is: (25x2 - 15y2)(25x2 + 15y2) = 625x4 - 225y4.

Step 1 of 2:The given expression is . It is of the form where .Step 2 of 2:Use the polynomial identity to find the product of the expression;Thus, the product is .

Related Questions to study

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Use polynomial identities to multiply the expressions ? $open parentheses 25 x squared minus 15 y squared close parentheses open parentheses 25 x squared plus 15 y squared close parentheses$