Question

Plz do it
Step by step

Answer 1

Answer:

1. a^2-b^2

2. x^2+x-6

3. 6a^2+17ab+12b^2

4. a^6

5. 10a^2+23ab+12b^2

Step-by-step explanation:

1. (a+b)(a-b)

a^2-ab+ab-b^2

ab gets cancelled

a^2-b^2

2. (x+3)(x-2)

x^2-2x+3x-6

x^2-x-6

3. (2a+3b)(3a+4b)

6a^2+8ab+9ab+12b^2

6a^2+17ab+12b^2

4.(-a)(-a^2)(a^3)

here is where the confusion arises

if the second term would've have been (-a)^2

then the result would've been a^2

but here the exponent of 2 is within the brackets

so the steps for this are as follows:-

-a multiplied by -a^2 is a^3

- into - is + and a into a into a is a^3

a^3 into a^3 is a^6

when numbers in exponential form are multiplied, the powers get added

5. (5a+4b)(2a+3b)

10a^2+15ab+8ab+12b^2

10a^2+23ab+12b^2

I hope it's helpful