Question

IV
Find the product of (x + 7y) and (7x - y)
(a) 7x2 + 48xy – 7y (b) -7x2 + 48xy + 7y?
(c) 7x- 48xy – 7y2 (d) 7x2 - 48xy - 7y?
1​

Answer 1

Step-by-step explanation:

Step 1: Multiply the first term of each binomial together.

(2x)(3x) = 6x2

Step 2: Multiply the outer terms together.

(2x)(–1) = –2x

Answer 2

Answer:

(x + 7y) and (7x - y)

= (x + 7y) (7x – y)

= x(7x-y) + 7y ( 7x-y)

=7x2 – xy + 49xy – 7y2

= 7x2 – 7y2 + 48xy

a) 7x2 + 48xy – 7y

=7x2 + 48xy-7y2

=7x2 + 49xy-xy-7y2

=7x(x + 7y)-y(x + 7y)

=(7x-y)(x + 7y)  

∴ the factors of 7x2 + 48xy-7y2 are (7x-y)(x + 7y)

Step-by-step explanation:

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