Question

Find the products of the following using the identities.
a. ( x+ 4) ( x – 7)
b. ( 2x + 7) ( 2x – 7)
c. (2 − 6)^2
d. ( 4^2 − 3^2)^2




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Answer 1

Step-by-step explanation:

I hope u can understand this solution

Answer 2

$\huge\green{A}\red{N}\orange{S}\pink{W}{E}\blue{R}$

a. $(x+a)(x-b)=x^{2}+x(a-b)-ab$

$= x^{2}+x(4-7)-(4\times7)$

$= \huge\boxed{\red{x^{2}-3x-28}}$

b. $(x+a)(x-b)=x^{2}+x(a-b)-ab$

$= (2x)^{2}+2x(7-7)-(7\times7)$

$=\huge\boxed{\orange{4x^{2}-49}}$

c.$(a-b)^{2}=a^{2}+b^{2}-2ab$

$= 2^{2}+6^{2}-2(2)(6)$

$=4+36-24$

$=\huge\boxed{\pink{16}}$

d. $(4^{2}-3^{2})^{2}$

$=[(4-3)(4+3)]^{2}$

$=(1\times7)^{2}$

$=7^{2}$

$= \huge\boxed{\blue{49}}$

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