Use polynomial identities to multiply each expression . $left parenthesis 2 x plus 8 y right parenthesis left parenthesis 2 x minus 8 y right parenthesis$

Dakota said the third term of the expansions of $left parenthesis 2 g plus 3 h right parenthesis to the power of 4 text is end text 36 g squared h squared$ .Explain Dakota’s error and then correct the answer.

You can use Both the Pascal’s triangle and binomial expansion to find the value of (x + y)n .

Dakota said the third term of the expansions of $left parenthesis 2 g plus 3 h right parenthesis to the power of 4 text is end text 36 g squared h squared$ .Explain Dakota’s error and then correct the answer.

You can use Both the Pascal’s triangle and binomial expansion to find the value of (x + y)n .

What number does C3 represent in the expansion $C subscript 0 a to the power of 5 plus C subscript 1 a to the power of 4 b plus C subscript 2 a squared b squared plus C subscript 3 a b cubed plus C subscript 4 b to the power of 4$ ? Explain.

The value $n C subscript r equals fraction numerator n factorial over denominator r factorial left parenthesis n minus r right parenthesis factorial end fraction$ is called the combination permutation.

What number does C3 represent in the expansion $C subscript 0 a to the power of 5 plus C subscript 1 a to the power of 4 b plus C subscript 2 a squared b squared plus C subscript 3 a b cubed plus C subscript 4 b to the power of 4$ ? Explain.

Explain how to use a polynomial identity to factor . $8 x to the power of 6 minus 27 y cubed$

Use polynomial identities to factor the polynomials or simplify the expressions :
$10 cubed minus 3 cubed$

How are Pascal’s triangle and binomial expansion such as $left parenthesis a plus b right parenthesis to the power of 5$ related?

Explain how to use a polynomial identity to factor $8 x to the power of 6 minus 27 y cubed$ .

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

Explain how to use a polynomial identity to factor $8 x to the power of 6 minus 27 y cubed$ .

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

Use polynomial identities to factor the polynomials or simplify the expressions :
$10 cubed plus 5 cubed$

Explain why the middle term $left parenthesis x plus 5 right parenthesis squared$ is 10x.

Use polynomial identities to factor the polynomials or simplify the expressions :
$9 cubed plus 6 cubed$

How can you use polynomial identities to rewrite expressions efficiently ?

Use binomial theorem to expand $left parenthesis 2 c plus d right parenthesis to the power of 6$

Use polynomial identities to factor the polynomials or simplify the expressions :
$open parentheses 1 over 16 x to the power of 6 minus 25 y to the power of 4 close parentheses$

Use binomial theorem to expand . $left parenthesis x minus 1 right parenthesis to the power of 7$

Use polynomial identities to factor the polynomials or simplify the expressions :
$64 x cubed minus 125 y to the power of 6$