Question

Use the formula to multiply (P +4) (P + 7)​

Answer 1

Answer:

p(p+7)+4(p+7)

p^2+7p+4p+28

p^2+11p+28

Answer 2

The distributive property of multiplication (a+b)(c+d) is used to multiply the expression (P +4) and (P + 7)​.

Given:

An expression (P +4) (P + 7)​.

To Find:

The formula that has been used to multiply (P +4) and (P + 7)​.

Solution:

The expression is in the form of $(a+b)(c+d)$. To multiply such expression, the distributive property of multiplication is used which is given by,$(a+b)(c+d)=ac+ad+bc+bd$.

In this property, the terms within the first bracket have been distributed among the terms in the second bracket.

Following the distributive property, the expression (P +4) (P + 7)​ will result in,

$(P+4)(P+7)=P^2+7P+4P+28\\=P^2+11P+28$

Thus, the distributive property of multiplication (a+b)(c+d) is used to multiply the expression (P +4) and (P + 7)​.