3 years ago

Add 12xy − 3p2q2 + 7pq − 8r2 and 2xy + 3p2q2 − 8pq + 4r Please help me quick

2 answers:

7 0

Ex 9.1, 3 (iii) - Chapter 9 Class 8 Algebraic Expressions and Identities ... Davneet Singh is a graduate from Indian Institute of Technology, ...

Whitepunk [10]3 years ago

3 0

Answer:

$12xy - 3 {p}^{2} {q}^{2} + 7pq - 8 {r}^{2} \\ + \\ 2xy + 3 {p}^{2} {q}^{2} - 8pq + 4r \\ = 14xy - pq - 4r$

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A square piece of fabric has an area of 16x^2+40x+25 square inches. The length of each side of the fabric is cx+d, where c and d

lozanna [386]

$A=(cx+d)^2=c^2x^2+2cdx+d^2\\\\c^2x^2+2xcd+d^2=16x^2+40x+25\\\Downarrow\\c^2=16;\ 2cd=40;\ d^2=25\\\Downarrow\\c=\sqrt{16};\ cd=20;\ d=\sqrt{25}\\\Downarrow\\\boxed{c=4\ and\ d=5}\\\\The\ length\ of\ side:cx+d=\boxed{4x+5}\\\\The\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\\\\For\ x=2:\\16\cdot2+20=32+20=\boxed{52}$